решите пожалуйста неравенство. Created by nikita156557. algebra-ru

решите пожалуйста неравенство...

June 2021 2 12 Report

решите пожалуйста неравенство

Verified answer

$8^{2x+1}\ \textgreater \ 0.125$
$8^{-1} = 0.125$
$2x+1 \ \textgreater \ -1$
$2x\ \textgreater \ -2$
$x\ \textgreater \ -1$

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wangross

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$8^{2x+1}\ \textgreater \ 0,125 \\ \\ 8^{2x+1}\ \textgreater \ \frac{125}{1000} \\ \\ 8^{2x+1}\ \textgreater \ \frac{1}{8} \\ \\ 8^{2x+1}\ \textgreater \ 8^{-1} \\ \\ 2x+1\ \textgreater \ -1 \\ 2x\ \textgreater \ -2 \\ x\ \textgreater \ -1$

Ответ: $x$ ∈ $(-1;+$ беск. $)$

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