Даю 40 баллов! С полным решением. [tex]15*2^{x} -2^{x-1}-2^{x-2}=7^{x}+7^{x-1}+7^{x-2}[/tex]. Created by ssshhh3. algebra-ru

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ssshhh3 @ssshhh3

July 2022 2 52 Report

Даю 40 баллов! С полным решением.

[tex]15*2^{x} -2^{x-1}-2^{x-2}=7^{x}+7^{x-1}+7^{x-2}[/tex]

amin07am

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Ответ/$#@!/$$#@/$$#@@$///#@

2 votes Thanks 1

yugolovin

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$x-2=t;\ x=t+2;\ 15\cdot 2^{t+2}-2^{t+1}-2^t=7^{t+2}+7^{t+1}+7^t;$

$60\cdot 2^t-2\cdot 2^t-2^t=49\cdot 7^t+7\cdot 7^t+7^t;$

$57\cdot 2^t=57\cdot 7^t;\ 2^t=7^t;\ \left(\frac{2}{7}\right)^t=
\left(\frac{2}{7}\right)^0;\ t=0;\ x=2$

0 votes Thanks 1

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