Помогите, пожалуйста: [tex]3^{x-1} + 3^{x} + 3^{x+1} = 12^{x-1} + 12^{x}[/tex]. Created by vanhek18. algebra-ru

делим обе части на 3^xОтвет: x=1

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vanhek18 @vanhek18

July 2022 1 10 Report

Помогите, пожалуйста: [tex]3^{x-1} + 3^{x} + 3^{x+1} = 12^{x-1} + 12^{x}[/tex]

Answers & Comments

AnonimusPro

Verified answer

$3^{-1}*3^x+3^x+3*3^x=4^{x-1}*3^x*3^{-1}+4^x*3^x$
$3^x \neq 0$
делим обе части на 3^x
$\frac{1}{3}+1+3=\frac{4^{x-1}}{3}+4^x \\\frac{1+3+9}{3}=\frac{13*4^x}{12} \\13*4=13*4^x \\4^x=4 \\x=1$
Ответ: x=1

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Answers & Comments

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