{"id":7836,"date":"2022-06-22T22:54:19","date_gmt":"2022-06-22T14:54:42","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/exponential_n_logarithmic_functions\/solve_exponential_equations_and_logairthmic_equations-2\/"},"modified":"2025-05-09T23:56:59","modified_gmt":"2025-05-09T15:56:59","slug":"solve_exponential_and_logairthmic_equations","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/solve_exponential_and_logairthmic_equations\/","title":{"rendered":"\u89e3\u6307\u6578\u65b9\u7a0b\u548c\u5c0d\u6578\u65b9\u7a0b"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"7836\" class=\"elementor elementor-7836\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6e6d9785 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6e6d9785\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-66 elementor-top-column elementor-element elementor-element-41dc1ba6\" data-id=\"41dc1ba6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f85ef80 elementor-widget elementor-widget-text-editor\" data-id=\"f85ef80\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>3.5 \u89e3\u6307\u6578\u65b9\u7a0b \u548c\u5c0d\u6578\u65b9\u7a0b\uff08Solve Exponential Equations and Logairthmic Equations\uff09<\/h2><p>\u5230\u5e95\u54a9\u4fc2\u89e3\u6307\u6578\u65b9\u7a0b\u53ca\u5c0d\u6578\u65b9\u7a0b (Solve Exponential and Logairthmic Equations)\u5462?<\/p><p>\u8981\u89e3\u7b54\u4f9d\u500b\u554f\u984c\u5176\u5be6\u4fc2\u8981\u89e3\u91cb\u54a9\u4fc2\u6307\u6578\u65b9\u7a0b\u53ca\u5c0d\u6578\u65b9\u7a0b\u3002<\/p><ul><li>\u6307\u6578\u65b9\u7a0b\u4fc2\u6307\u4e00\u689d\u65b9\u7a0b\u4e2d\u672a\u77e5\u6578\u4fc2\u55ba\u6307\u6578\u51fd\u6578\u4e2d\u6307\u6578\u4f4d\u7f6e\u5ea6\u51fa\u73fe\u3002<\/li><li>\u5c0d\u6578\u65b9\u7a0b\u5c31\u4fc2\u4e00\u689d\u65b9\u7a0b\u4e2d\u6307\u672a\u77e5\u6578\u4fc2\u55ba\u5c0d\u6578\u51fd\u6578\u4e2d\u51fa\u73fe\u3002<\/li><\/ul><p>\u5481\u89e3\u65b9\u7a0b\u7576\u7136\u4fc2\u6307\u7531\u8a08\u7b97\u51fa\u65b9\u7a0b\u5605\u89e3\/\u7b54\u6848\u3002<\/p><ul><li>\u56e0\u70ba\u672a\u77e5\u6578\u5605\u7279\u6b8a\u4f4d\u7f6e\uff0c\u55ba\u904e\u7a0b\u4e2d\u90fd\u6703\u61c9\u7528\u5230\u6307\u6578\u51fd\u6578\u53ca\u5c0d\u6578\u51fd\u6578\u5605\u6027\u8cea\u3002<\/li><li>\u8f03\u6df1\u5605\u76ee\u6a19\u4ea6\u597d\u53ef\u80fd\u9700\u8981\u900f\u904e\u8b8a\u63db\u672a\u77e5\u6578\u628a\u539f\u6709\u5605\u65b9\u7a0b\u8b8a\u6210\u4e00\u689d\u666e\u901a\u5605\u65b9\u7a0b\u3002\u7136\u5f8c\u6c42\u5f97\u9019\u689d\u65b9\u7a0b\u7684\u89e3 (\u5373\u7b54\u6848)\u3002\u5230\u6700\u5f8c\u518d\u5229\u7528\u4e0a\u9762\u5605\u89e3\u628a\u539f\u6709\u8b8a\u6578\u5605\u89e3\u8a08\u51fa\u569f\u3002<\/li><\/ul><p>\u00a0<\/p><h3>3.5.1 \u89e3\u6307\u6578\u65b9\u7a0b (Solve Exponential Equations)<\/h3><p>\u6307\u6578\u65b9\u7a0b\u6700\u7279\u5225\u5605\u5730\u65b9\u4fc2\u500b\u672a\u77e5\u6578\u4fc2\u55ba\u201c\u6307\u6578\u5605\u4f4d\u7f6e\u201d\u5ea6\u3002<\/p><ul><li>\u4f8b\u5982\uff1a \\(2^{x}=4\\)<\/li><\/ul><p>\u89e3\u6307\u6578\u65b9\u7a0b\u5605\u65b9\u6cd5\u57fa\u672c\u4e0a\u6709\u5169\u500b\uff1a<\/p><ul><li>\u7528\u773c\u7747<\/li><li>\u5de6\u53f3take log\uff0c\u518d\u5229\u7528\u5c0d\u6578\u51fd\u6578\u5605\u6027\u8cea\uff08\u4e3b\u8981\u4fc2\u7528\u5230\u516c\u5f0f \\(log a^{x}=xlog a\\)\uff09<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9796640 elementor-widget elementor-widget-accordion\" data-id=\"9796640\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1581\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1581\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">\u4f8b1\uff1a \u89e3\u65b9\u7a0b\t\\(3^{x} = 81\\)<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1581\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1581\"><p>\u89e3\u8aaa\uff1a\u00a0\u00a0\u00a0<\/p><ul><li>\u4f9d\u689d\u55ba\u201c\u7528\u773c\u7747\u201d\u5c31\u53ef\u4ee5\u89e3\u5230\u5605\u6307\u6578\u65b9\u7a0b\u3002<ul><li>\u800c\u6240\u8b02\u201c\u7528\u773c\u7747\u201d\u5176\u5be6\u5c31\u4fc2\u7747\u523081\u4fc2\u540c3\u5605\u5e7e\u591a\u6b21\u65b9\u6709\u95dc\uff0881 = 3<sup>4<\/sup>\uff09\u3002<\/li><\/ul><\/li><li>\u898b\u5230\u4f9d\u9ede\u5c31\u53ef\u4ee5\u5beb\u500b\u7b54\u6848\u51fa\u569f\u3002<\/li><\/ul><p style=\"padding-left: 40px;\">3<sup>x<\/sup> = 81<br \/>3<sup>x<\/sup> = 3<sup>4<br \/><\/sup>\u00a0 x = 4\u00a0 \u00a0 \u00a0 \u00a0(\u6bd4\u8f03\u5169\u908a\u6307\u6578)<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1582\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-1582\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">\u4f8b2\uff1a \u89e3\u65b9\u7a0b\t\\(3^{x} = 50\\)<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1582\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-1582\"><p>\u89e3\u8aaa\uff1a\u00a0\u00a0\u00a0<\/p><ul><li>\u56e0\u70ba50\u540c3\u5605\u5e7e\u591a\u6b21\u65b9\u5187\u54a9\u95dc\u4fc2\uff0c\u6240\u4ee5\u5514\u53ef\u4ee5\u7528\u4e0a\u9762\u5605\u65b9\u6cd5\u505a\u4f9d\u689d\u6578\u3002<\/li><li>\u55ba\u4f9d\u55f0\u6642\u5019\u5c31\u8981\u7528&#8221;\u5de6\u53f3 take log&#8221;\u5605\u65b9\u6cd5\u569f\u8a08\uff1a<\/li><\/ul><p style=\"padding-left: 40px;\">\\(\\begin{align}<br \/>3^{x} &amp;= 50 \\\\<br \/>log 3^{x} &amp;= log 50\u00a0 \u00a0\\quad (\u5169\u908a take log) \\\\<br \/>x log 3 &amp;= log 50\u00a0 \u00a0\\quad (\u5229\u7528\u516c\u5f0f log a^{x}\u00a0= x log a) \\\\<br \/>x &amp;= \\dfrac{log50}{log 3} \\\\<br \/>x &amp;= 3.56\u00a0 \u00a0 \\quad \\quad (\u7528\u8a08\u6578\u6a5f\u3a52\u8a08\u7684)<br \/>\\end{align}\\)<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1583\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-1583\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">\u4f8b3\uff1a \u89e3\u65b9\u7a0b \\(3^{x}=81\\)<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1583\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-1583\"><p>\u89e3\u8aaa\uff1a\u00a0\u00a0\u00a0<\/p><ul><li>\u5176\u5be6\u6211\u54cb\u53ef\u4ee5\u5514\u7528\u201c\u7528\u773c\u7747\u201d\u5605\u65b9\u6cd5\uff0c\u7e3d\u4e4b\u898b\u5230\u89e3\u6307\u6578\u65b9\u7a0b\u5c31\u5de6\u53f3take log\u3002<\/li><\/ul><p style=\"padding-left: 40px;\">\\(\\begin{align}<br \/>3^{x} &amp;= 81 \\\\<br \/>log 3^{x} &amp;= log 81 \\\\<br \/>x log 3 &amp;= log 81\\\\<br \/>x &amp;= \\dfrac{log81}{log 3} \\\\<br \/>x &amp;= 4<br \/>\\end{align}\\)<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d907640 elementor-widget elementor-widget-text-editor\" data-id=\"d907640\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3>3.5.2 \u89e3\u5c0d\u6578\u65b9\u7a0b (Solve Logairthmic Equations)<\/h3><p>\u5c0d\u6578\u65b9\u7a0b\u6700\u7279\u5225\u5605\u5730\u65b9\u4fc2\u689d\u65b9\u7a0b\u5165\u9762\u4e00\u958b\u59cb\u5df2\u7d93\u6709\u201clog\u201d\u51fa\u73fe\u3002<\/p><p>\u89e3\u5c0d\u6578\u65b9\u7a0b\u57fa\u672c\u4e0a\u53ea\u6709\u4e00\u500b\u6cd5\uff0c\u5c31\u4fc2\uff1a<\/p><ul><li>\u6574\u5230\u5169\u908a\u90fd\u4fc2\u201clog\u4e00\u56bf\u5622\u201d<\/li><li>\u4e4b\u5f8c\u5de6\u53f3\u4e00\u9f4a\u6574\u8d70\u500blog<\/li><li>\u518d\u89e3\u65b9\u7a0b<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c52c87c elementor-widget elementor-widget-accordion\" data-id=\"c52c87c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2061\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2061\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">\u4f8b1\uff1a \u89e3\u65b9\u7a0b \\(log (2x + 4) = 1\\)<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2061\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2061\"><p>\u89e3\u8aaa\uff1a<\/p><ul><li>\u65b9\u7a0b\u5de6\u908a\u5df2\u7d93\u4fc2\u201clog\u4e00\u5920\u5622\u201d\uff0c\u6240\u4ee5\u5514\u99db\u8b8a\u3002<\/li><li>\u53f3\u908a\u4fc21\u2026 \u5481\u201c1\u201d\u4fc2\u7b49\u65bc\u54a9\u5462\uff1f<ul><li>\u7528\u8a08\u6578\u6a5f\u7528\u4e00\u7528\u201cShift\u201d\u201c Log\u201d\u516c\u80fd\uff0c\u5c31\u77e5 1 = log 10\u3002<\/li><\/ul><\/li><\/ul><p>\u6240\u4ee5\u500b\u7b54\u6848\u53ef\u4ee5\u5481\u5beb\uff1a<\/p><p style=\"padding-left: 40px;\">\\(\\begin{align}<br \/>log (2x + 4) &amp;= 1 \\\\<br \/>log (2x + 4) &amp;= log 10 \\\\<br \/>2x+4 &amp;= 10 \\\\<br \/>x &amp;= 3 \\\\<br \/>\\end{align}\\)<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2062\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-2062\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">\u4f8b2\uff1a \u89e3\u65b9\u7a0b \\(log (2x + 4) + log 2 = 2\\)<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2062\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-2062\"><p>\u89e3\u8aaa\uff1a<\/p><ul><li>\u65b9\u7a0b\u5de6\u908a\u672a\u4fc2\u201clog\u4e00\u5920\u5622\u201d\uff08\u4fc2\u201c\u5169\u5920log\u201d\u5605\u76f8\u52a0\uff09\uff0c\u6240\u4ee5\u8981\u8b8a\u4e00\u8b8a\u3002<ul><li>\u7747\u8fd4log\u5605\u516c\u5f0f\uff0c\u6709\u689d\u4fc2\u3000log M + log N = log (MN)\u3002<\/li><li>\u5481\u7528\u5497\u4f62\u54aa\u53ef\u4ee5\u5c07\u5de6\u908a\u8b8a\u6210\u201clog\u4e00\u5920\u5622\u201d\u56c9\u3002<\/li><\/ul><\/li><li>\u53f3\u908a\u4fc22\u2026 \u7528\u8a08\u6578\u6a5f\u53ef\u4ee5\u8a08\u5230 2 = log 100\u3002<\/li><\/ul><p>\u6240\u4ee5\u500b\u7b54\u6848\u53ef\u4ee5\u5481\u5beb\uff1a<\/p><p>\\(\\begin{align}<br \/>log (2x + 4) + log 2 &amp;= 2 \\\\<br \/>log [2(2x + 4)] &amp;= log 100 \\\\<br \/>4x+8 &amp;= 100 \\\\<br \/>x &amp;= 23<br \/>\\end{align}\\)<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-332e54b4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"332e54b4\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-181cbc7b\" data-id=\"181cbc7b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5673dee5 elementor-widget elementor-widget-text-editor\" data-id=\"5673dee5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><i class=\"far fa-arrow-alt-circle-left\" aria-hidden=\"true\"><\/i>\u00a0<a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/graphs_of_exponential_functions_and_logarithmic_functions\/\">\u6307\u6578\u51fd\u6578\u8207\u5c0d\u6578\u51fd\u6578\u7684\u5716\u50cf<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-3d104953\" data-id=\"3d104953\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-7ccfedd6\" data-id=\"7ccfedd6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-514f5aac elementor-widget elementor-widget-text-editor\" data-id=\"514f5aac\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: right;\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/applications_of_logairthms_in_real_life\/\">\u5c0d\u6578\u5728\u751f\u6d3b\u4e2d\u7684\u61c9\u7528<\/a> <i class=\"far fa-arrow-alt-circle-right\" aria-hidden=\"true\"><\/i><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-4bfd21bc\" data-id=\"4bfd21bc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-20775dbc elementor-widget elementor-widget-sidebar\" data-id=\"20775dbc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"sidebar.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"sidebar-box widget-oceanwp-custom-menu custom-menu-widget clr\"><style type=\"text\/css\">.ocean_custom_menu-5 > ul > li > a, .custom-menu-widget .ocean_custom_menu-5 .dropdown-menu .sub-menu li a.menu-link{font-size:16px;line-height:17px;}.custom-menu-widget .ocean_custom_menu-5.oceanwp-custom-menu > ul.click-menu .open-this{font-size:16px;}<\/style><h4 class=\"widget-title\">DSE\u6578\u5b78 &#8211; \u5fc5\u4fee\u90e8\u5206\u3010\u76ee\u9304\u3011<\/h4><div class=\"oceanwp-custom-menu clr ocean_custom_menu-5 left dropdown-hover\"><ul id=\"menu-dsemaths_core\" class=\"dropdown-menu sf-menu\"><li  id=\"menu-item-1744\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1744\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/course-analysis\/\" class=\"menu-link\">\u8ab2\u7a0b\u5206\u6790 (Core)<\/a><\/li>\n<li  id=\"menu-item-1745\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children dropdown menu-item-1745\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/\" class=\"menu-link\">\u5514\u597d\u4ee5\u70ba\u5514\u99db\u8003 &#8211; \u76ee\u9304 <span class=\"nav-arrow fa fa-angle-down\"><\/span><\/a>\n<ul class=\"sub-menu\">\n\t<li  id=\"menu-item-4067\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4067\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/solving-equation\/\" class=\"menu-link\">1. \u89e3\u65b9\u7a0b<\/a><\/li>\n\t<li  id=\"menu-item-4068\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4068\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/polynomials\/\" class=\"menu-link\">2. \u591a\u9805\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4069\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4069\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/laws-of-indices\/\" class=\"menu-link\">3. \u6307\u6578\u5b9a\u5f8b<\/a><\/li>\n\t<li  id=\"menu-item-4070\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4070\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/factorization\/\" class=\"menu-link\">4. \u56e0\u5f0f\u5206\u89e3<\/a><\/li>\n\t<li  id=\"menu-item-4071\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4071\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/formulae\/\" class=\"menu-link\">5. \u516c\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4072\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4072\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/percentage\/\" class=\"menu-link\">6. \u767e\u5206\u6cd5<\/a><\/li>\n\t<li  id=\"menu-item-4073\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4073\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/rate-and-ratio\/\" class=\"menu-link\">7. \u7387\u53ca\u6bd4<\/a><\/li>\n\t<li  id=\"menu-item-4074\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4074\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/functions\/\" class=\"menu-link\">8. \u51fd\u6578<\/a><\/li>\n\t<li  id=\"menu-item-4075\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4075\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/estimation\/\" class=\"menu-link\">9. \u4f30\u7b97<\/a><\/li>\n\t<li  id=\"menu-item-4076\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4076\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/inequalities\/\" class=\"menu-link\">10. \u4e0d\u7b49\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4077\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4077\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/coordinates\/\" class=\"menu-link\">11. \u5750\u6a19<\/a><\/li>\n\t<li  id=\"menu-item-4079\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4079\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/geometry\/\" class=\"menu-link\">12. \u6f14\u7e79\u63a8\u7406\u5e7e\u4f55<\/a><\/li>\n\t<li  id=\"menu-item-4080\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4080\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/trigonometry\/\" class=\"menu-link\">13. \u4e09\u89d2\u6bd4<\/a><\/li>\n\t<li  id=\"menu-item-4081\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4081\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/shapes\/\" class=\"menu-link\">14. \u5e73\u9762\u53ca\u7acb\u9ad4\u5716\u5f62<\/a><\/li>\n\t<li  id=\"menu-item-4082\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4082\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/15-probability\/\" class=\"menu-link\">15. \u6982\u7387<\/a><\/li>\n\t<li  id=\"menu-item-4083\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4083\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/16-statistics\/\" class=\"menu-link\">16. \u7d71\u8a08<\/a><\/li>\n<\/ul>\n<\/li>\n<li  id=\"menu-item-3231\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3231\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/\" class=\"menu-link\">\u57fa\u790e &#8211; \u6578\u8207\u4ee3\u6578<\/a><\/li>\n<li  id=\"menu-item-3241\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3241\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental-shape_n_space\/\" class=\"menu-link\">\u57fa\u790e &#8211; \u5ea6\u91cf\u3001\u5716\u5f62\u8207\u7a7a\u9593<\/a><\/li>\n<li  id=\"menu-item-3246\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3246\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_data_handling\/\" class=\"menu-link\">\u57fa\u790e &#8211; \u6578\u64da\u8655\u7406<\/a><\/li>\n<li  id=\"menu-item-3290\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3290\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/\" class=\"menu-link\">\u975e\u57fa\u790e &#8211; \u6578\u8207\u4ee3\u6578<\/a><\/li>\n<li  id=\"menu-item-3288\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3288\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental-shape_n_space\/\" class=\"menu-link\">\u975e\u57fa\u790e &#8211; \u5ea6\u91cf\u3001\u5716\u5f62\u8207\u7a7a\u9593<\/a><\/li>\n<li  id=\"menu-item-3289\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3289\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_data_handling\/\" class=\"menu-link\">\u975e\u57fa\u790e &#8211; \u6578\u64da\u8655\u7406<\/a><\/li>\n<\/ul><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>3.5 \u89e3\u6307\u6578\u65b9\u7a0b \u548c\u5c0d\u6578\u65b9\u7a0b\uff08Solve Exponential Equations and Logairt [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":5204,"parent":7738,"menu_order":4,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"0","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-7836","page","type-page","status-publish","has-post-thumbnail","hentry","entry","has-media"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Exponential and Logairthmic Equations &#187; \u6307\u6578\u53ca\u5c0d\u6578\u51fd\u6578&#187; DSE Maths\u7b46\u8a18 &#187; \u9f4a\u9f4a\u6eab<\/title>\n<meta name=\"description\" content=\"\u89e3\u6307\u6578\u65b9\u7a0b\u53ca\u5c0d\u6578\u65b9\u7a0b (Solve Exponential and Logairthmic Equations)\u6700\u7dca\u8981\u5605\u4fc2\u8b58\u5f97\u900f\u904e\u8b8a\u63db\u672a\u77e5\u6578\u628a\u539f\u6709\u5605\u65b9\u7a0b\u8b8a\u6210\u4e00\u689d\u666e\u901a\u5605\u65b9\u7a0b\u3002\u4e4b\u5f8c\u518d\u5229\u7528\u7d50\u679c\u628a\u539f\u6709\u5605\u8b8a\u6578\u8a08\u51fa\u569f\u3002\u7c21\u55ae\u569f\u8b1b\u5373\u4fc2\u597d\u4f3c\u8981\u89e3\u4e8c\u689d\u65b9\u7a0b\u5481\uff0c\u53ea\u4fc2\u5176\u4e2d\u4e00\u689d\u6703\u540c\u5c0d\u6578\u51fd\u6578\u6216\u6307\u6578\u51fd\u6578\u6709\u95dc\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/solve_exponential_and_logairthmic_equations\/\" \/>\n<meta property=\"og:locale\" content=\"zh_TW\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Exponential and Logairthmic Equations &#187; \u6307\u6578\u53ca\u5c0d\u6578\u51fd\u6578&#187; DSE Maths\u7b46\u8a18 &#187; \u9f4a\u9f4a\u6eab\" \/>\n<meta property=\"og:description\" content=\"\u89e3\u6307\u6578\u65b9\u7a0b\u53ca\u5c0d\u6578\u65b9\u7a0b (Solve Exponential and Logairthmic Equations)\u6700\u7dca\u8981\u5605\u4fc2\u8b58\u5f97\u900f\u904e\u8b8a\u63db\u672a\u77e5\u6578\u628a\u539f\u6709\u5605\u65b9\u7a0b\u8b8a\u6210\u4e00\u689d\u666e\u901a\u5605\u65b9\u7a0b\u3002\u4e4b\u5f8c\u518d\u5229\u7528\u7d50\u679c\u628a\u539f\u6709\u5605\u8b8a\u6578\u8a08\u51fa\u569f\u3002\u7c21\u55ae\u569f\u8b1b\u5373\u4fc2\u597d\u4f3c\u8981\u89e3\u4e8c\u689d\u65b9\u7a0b\u5481\uff0c\u53ea\u4fc2\u5176\u4e2d\u4e00\u689d\u6703\u540c\u5c0d\u6578\u51fd\u6578\u6216\u6307\u6578\u51fd\u6578\u6709\u95dc\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/solve_exponential_and_logairthmic_equations\/\" \/>\n<meta property=\"og:site_name\" content=\"\u9f4a\u9f4a\u6eab\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/-100355795002387\" \/>\n<meta property=\"article:modified_time\" content=\"2025-05-09T15:56:59+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/02\/exponential_and_logarithmic_functions-laws_solving_exponential_and_logarithmic_equation.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"800\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/dse-maths-core\\\/non_fundamental_algebra\\\/exponential_and_logarithmic_functions\\\/solve_exponential_and_logairthmic_equations\\\/\",\"url\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/dse-maths-core\\\/non_fundamental_algebra\\\/exponential_and_logarithmic_functions\\\/solve_exponential_and_logairthmic_equations\\\/\",\"name\":\"Exponential and Logairthmic Equations &#187; \u6307\u6578\u53ca\u5c0d\u6578\u51fd\u6578&#187; DSE Maths\u7b46\u8a18 &#187; \u9f4a\u9f4a\u6eab\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/dse-maths-core\\\/non_fundamental_algebra\\\/exponential_and_logarithmic_functions\\\/solve_exponential_and_logairthmic_equations\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/dse-maths-core\\\/non_fundamental_algebra\\\/exponential_and_logarithmic_functions\\\/solve_exponential_and_logairthmic_equations\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/wp-content\\\/uploads\\\/2022\\\/02\\\/exponential_and_logarithmic_functions-laws_solving_exponential_and_logarithmic_equation.jpg\",\"datePublished\":\"2022-06-22T14:54:42+00:00\",\"dateModified\":\"2025-05-09T15:56:59+00:00\",\"description\":\"\u89e3\u6307\u6578\u65b9\u7a0b\u53ca\u5c0d\u6578\u65b9\u7a0b (Solve Exponential and Logairthmic Equations)\u6700\u7dca\u8981\u5605\u4fc2\u8b58\u5f97\u900f\u904e\u8b8a\u63db\u672a\u77e5\u6578\u628a\u539f\u6709\u5605\u65b9\u7a0b\u8b8a\u6210\u4e00\u689d\u666e\u901a\u5605\u65b9\u7a0b\u3002\u4e4b\u5f8c\u518d\u5229\u7528\u7d50\u679c\u628a\u539f\u6709\u5605\u8b8a\u6578\u8a08\u51fa\u569f\u3002\u7c21\u55ae\u569f\u8b1b\u5373\u4fc2\u597d\u4f3c\u8981\u89e3\u4e8c\u689d\u65b9\u7a0b\u5481\uff0c\u53ea\u4fc2\u5176\u4e2d\u4e00\u689d\u6703\u540c\u5c0d\u6578\u51fd\u6578\u6216\u6307\u6578\u51fd\u6578\u6709\u95dc\u3002\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/dse-maths-core\\\/non_fundamental_algebra\\\/exponential_and_logarithmic_functions\\\/solve_exponential_and_logairthmic_equations\\\/#breadcrumb\"},\"inLanguage\":\"zh-TW\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.study-together.com\\\/edu\\\/dse-maths-core\\\/non_fundamental_algebra\\\/exponential_and_logarithmic_functions\\\/solve_exponential_and_logairthmic_equations\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-TW\",\"@id\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/dse-maths-core\\\/non_fundamental_algebra\\\/exponential_and_logarithmic_functions\\\/solve_exponential_and_logairthmic_equations\\\/#primaryimage\",\"url\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/wp-content\\\/uploads\\\/2022\\\/02\\\/exponential_and_logarithmic_functions-laws_solving_exponential_and_logarithmic_equation.jpg\",\"contentUrl\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/wp-content\\\/uploads\\\/2022\\\/02\\\/exponential_and_logarithmic_functions-laws_solving_exponential_and_logarithmic_equation.jpg\",\"width\":1200,\"height\":800,\"caption\":\"\u89e3\u6307\u6578\u65b9\u7a0b\u548c\u5c0d\u6578\u65b9\u7a0b Exponential and Logairthmic Equations\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/dse-maths-core\\\/non_fundamental_algebra\\\/exponential_and_logarithmic_functions\\\/solve_exponential_and_logairthmic_equations\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"DSE \u6578\u5b78 &#8211; \u5fc5\u4fee\",\"item\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/dse-maths-core\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"\u975e\u57fa\u790e\u8ab2\u984c \u2013 \u6578\u8207\u4ee3\u6578\",\"item\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/dse-maths-core\\\/non_fundamental_algebra\\\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"3. \u6307\u6578\u51fd\u6578\u53ca\u5c0d\u6578\u51fd\u6578\",\"item\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/dse-maths-core\\\/non_fundamental_algebra\\\/exponential_and_logarithmic_functions\\\/\"},{\"@type\":\"ListItem\",\"position\":5,\"name\":\"\u89e3\u6307\u6578\u65b9\u7a0b\u548c\u5c0d\u6578\u65b9\u7a0b\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/#website\",\"url\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/\",\"name\":\"\u9f4a\u9f4a\u6eab\",\"description\":\"\u4e2d\u5b78\u53ca\u5c0f\u5b78\u8ab2\u7a0b - \u9f4a\u9f4a\u5b78!\u9f4a\u9f4a\u6eab!\",\"publisher\":{\"@id\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"zh-TW\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/#organization\",\"name\":\"Study2Gather\",\"url\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-TW\",\"@id\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/wp-content\\\/uploads\\\/2020\\\/06\\\/logo.png\",\"contentUrl\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/wp-content\\\/uploads\\\/2020\\\/06\\\/logo.png\",\"width\":250,\"height\":55,\"caption\":\"Study2Gather\"},\"image\":{\"@id\":\"https:\\\/\\\/www.study-together.com\\\/edu\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/-100355795002387\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Exponential and Logairthmic Equations &#187; \u6307\u6578\u53ca\u5c0d\u6578\u51fd\u6578&#187; DSE Maths\u7b46\u8a18 &#187; \u9f4a\u9f4a\u6eab","description":"\u89e3\u6307\u6578\u65b9\u7a0b\u53ca\u5c0d\u6578\u65b9\u7a0b (Solve Exponential and Logairthmic Equations)\u6700\u7dca\u8981\u5605\u4fc2\u8b58\u5f97\u900f\u904e\u8b8a\u63db\u672a\u77e5\u6578\u628a\u539f\u6709\u5605\u65b9\u7a0b\u8b8a\u6210\u4e00\u689d\u666e\u901a\u5605\u65b9\u7a0b\u3002\u4e4b\u5f8c\u518d\u5229\u7528\u7d50\u679c\u628a\u539f\u6709\u5605\u8b8a\u6578\u8a08\u51fa\u569f\u3002\u7c21\u55ae\u569f\u8b1b\u5373\u4fc2\u597d\u4f3c\u8981\u89e3\u4e8c\u689d\u65b9\u7a0b\u5481\uff0c\u53ea\u4fc2\u5176\u4e2d\u4e00\u689d\u6703\u540c\u5c0d\u6578\u51fd\u6578\u6216\u6307\u6578\u51fd\u6578\u6709\u95dc\u3002","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/solve_exponential_and_logairthmic_equations\/","og_locale":"zh_TW","og_type":"article","og_title":"Exponential and Logairthmic Equations &#187; \u6307\u6578\u53ca\u5c0d\u6578\u51fd\u6578&#187; DSE Maths\u7b46\u8a18 &#187; \u9f4a\u9f4a\u6eab","og_description":"\u89e3\u6307\u6578\u65b9\u7a0b\u53ca\u5c0d\u6578\u65b9\u7a0b (Solve Exponential and Logairthmic Equations)\u6700\u7dca\u8981\u5605\u4fc2\u8b58\u5f97\u900f\u904e\u8b8a\u63db\u672a\u77e5\u6578\u628a\u539f\u6709\u5605\u65b9\u7a0b\u8b8a\u6210\u4e00\u689d\u666e\u901a\u5605\u65b9\u7a0b\u3002\u4e4b\u5f8c\u518d\u5229\u7528\u7d50\u679c\u628a\u539f\u6709\u5605\u8b8a\u6578\u8a08\u51fa\u569f\u3002\u7c21\u55ae\u569f\u8b1b\u5373\u4fc2\u597d\u4f3c\u8981\u89e3\u4e8c\u689d\u65b9\u7a0b\u5481\uff0c\u53ea\u4fc2\u5176\u4e2d\u4e00\u689d\u6703\u540c\u5c0d\u6578\u51fd\u6578\u6216\u6307\u6578\u51fd\u6578\u6709\u95dc\u3002","og_url":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/solve_exponential_and_logairthmic_equations\/","og_site_name":"\u9f4a\u9f4a\u6eab","article_publisher":"https:\/\/www.facebook.com\/-100355795002387","article_modified_time":"2025-05-09T15:56:59+00:00","og_image":[{"width":1200,"height":800,"url":"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/02\/exponential_and_logarithmic_functions-laws_solving_exponential_and_logarithmic_equation.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/solve_exponential_and_logairthmic_equations\/","url":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/solve_exponential_and_logairthmic_equations\/","name":"Exponential and Logairthmic Equations &#187; \u6307\u6578\u53ca\u5c0d\u6578\u51fd\u6578&#187; DSE Maths\u7b46\u8a18 &#187; \u9f4a\u9f4a\u6eab","isPartOf":{"@id":"https:\/\/www.study-together.com\/edu\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/solve_exponential_and_logairthmic_equations\/#primaryimage"},"image":{"@id":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/solve_exponential_and_logairthmic_equations\/#primaryimage"},"thumbnailUrl":"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/02\/exponential_and_logarithmic_functions-laws_solving_exponential_and_logarithmic_equation.jpg","datePublished":"2022-06-22T14:54:42+00:00","dateModified":"2025-05-09T15:56:59+00:00","description":"\u89e3\u6307\u6578\u65b9\u7a0b\u53ca\u5c0d\u6578\u65b9\u7a0b (Solve Exponential and Logairthmic Equations)\u6700\u7dca\u8981\u5605\u4fc2\u8b58\u5f97\u900f\u904e\u8b8a\u63db\u672a\u77e5\u6578\u628a\u539f\u6709\u5605\u65b9\u7a0b\u8b8a\u6210\u4e00\u689d\u666e\u901a\u5605\u65b9\u7a0b\u3002\u4e4b\u5f8c\u518d\u5229\u7528\u7d50\u679c\u628a\u539f\u6709\u5605\u8b8a\u6578\u8a08\u51fa\u569f\u3002\u7c21\u55ae\u569f\u8b1b\u5373\u4fc2\u597d\u4f3c\u8981\u89e3\u4e8c\u689d\u65b9\u7a0b\u5481\uff0c\u53ea\u4fc2\u5176\u4e2d\u4e00\u689d\u6703\u540c\u5c0d\u6578\u51fd\u6578\u6216\u6307\u6578\u51fd\u6578\u6709\u95dc\u3002","breadcrumb":{"@id":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/solve_exponential_and_logairthmic_equations\/#breadcrumb"},"inLanguage":"zh-TW","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/solve_exponential_and_logairthmic_equations\/"]}]},{"@type":"ImageObject","inLanguage":"zh-TW","@id":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/solve_exponential_and_logairthmic_equations\/#primaryimage","url":"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/02\/exponential_and_logarithmic_functions-laws_solving_exponential_and_logarithmic_equation.jpg","contentUrl":"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/02\/exponential_and_logarithmic_functions-laws_solving_exponential_and_logarithmic_equation.jpg","width":1200,"height":800,"caption":"\u89e3\u6307\u6578\u65b9\u7a0b\u548c\u5c0d\u6578\u65b9\u7a0b Exponential and Logairthmic Equations"},{"@type":"BreadcrumbList","@id":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/solve_exponential_and_logairthmic_equations\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.study-together.com\/edu\/"},{"@type":"ListItem","position":2,"name":"DSE \u6578\u5b78 &#8211; \u5fc5\u4fee","item":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/"},{"@type":"ListItem","position":3,"name":"\u975e\u57fa\u790e\u8ab2\u984c \u2013 \u6578\u8207\u4ee3\u6578","item":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/"},{"@type":"ListItem","position":4,"name":"3. \u6307\u6578\u51fd\u6578\u53ca\u5c0d\u6578\u51fd\u6578","item":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/exponential_and_logarithmic_functions\/"},{"@type":"ListItem","position":5,"name":"\u89e3\u6307\u6578\u65b9\u7a0b\u548c\u5c0d\u6578\u65b9\u7a0b"}]},{"@type":"WebSite","@id":"https:\/\/www.study-together.com\/edu\/#website","url":"https:\/\/www.study-together.com\/edu\/","name":"\u9f4a\u9f4a\u6eab","description":"\u4e2d\u5b78\u53ca\u5c0f\u5b78\u8ab2\u7a0b - \u9f4a\u9f4a\u5b78!\u9f4a\u9f4a\u6eab!","publisher":{"@id":"https:\/\/www.study-together.com\/edu\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.study-together.com\/edu\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"zh-TW"},{"@type":"Organization","@id":"https:\/\/www.study-together.com\/edu\/#organization","name":"Study2Gather","url":"https:\/\/www.study-together.com\/edu\/","logo":{"@type":"ImageObject","inLanguage":"zh-TW","@id":"https:\/\/www.study-together.com\/edu\/#\/schema\/logo\/image\/","url":"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2020\/06\/logo.png","contentUrl":"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2020\/06\/logo.png","width":250,"height":55,"caption":"Study2Gather"},"image":{"@id":"https:\/\/www.study-together.com\/edu\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/-100355795002387"]}]}},"_links":{"self":[{"href":"https:\/\/www.study-together.com\/edu\/wp-json\/wp\/v2\/pages\/7836","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.study-together.com\/edu\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.study-together.com\/edu\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.study-together.com\/edu\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.study-together.com\/edu\/wp-json\/wp\/v2\/comments?post=7836"}],"version-history":[{"count":3,"href":"https:\/\/www.study-together.com\/edu\/wp-json\/wp\/v2\/pages\/7836\/revisions"}],"predecessor-version":[{"id":24541,"href":"https:\/\/www.study-together.com\/edu\/wp-json\/wp\/v2\/pages\/7836\/revisions\/24541"}],"up":[{"embeddable":true,"href":"https:\/\/www.study-together.com\/edu\/wp-json\/wp\/v2\/pages\/7738"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.study-together.com\/edu\/wp-json\/wp\/v2\/media\/5204"}],"wp:attachment":[{"href":"https:\/\/www.study-together.com\/edu\/wp-json\/wp\/v2\/media?parent=7836"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}