помогите плз срочно надо[tex] {3}^{ {x}^{2 { + }^{} } } {}^{7} = {9}^{4x} [/tex]. Created by petavasilkov191. algebra-ru

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petavasilkov191 @petavasilkov191

July 2022 1 14 Report

помогите плз срочно надо
[tex] {3}^{ {x}^{2 { + }^{} } } {}^{7} = {9}^{4x} [/tex]

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bb573878

Ответ:

Объяснение:

$\displaystyle\bf\\3^{x^2+7}=9^{4x};\ \ \ 3^{x^2+7}=3^{2\cdot4x};\ \ x^2+7=8x\\\\x^2-8x+7=0\\\\x^2-x-7x+7=0\\\\x(x-1)-7(x-1)=0\\\\(x-1)(x-7)=0\\\\x_1=1;\ x_2=7\\\\Otvet:\ 1;\ 7$

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