Question

Решите неравенство (1/2)^-x + 8<5*2^x

Answer 1

$( \frac{1}{2}) ^{-x} +8\ \textless \ 5*2 ^{x} \\\\2 ^{x}+8-5*2 ^{x} \ \textless \ 0\\\\-4*2 ^{x}\ \textless \ -8\\\\2 ^{x}\ \textgreater \ 2\\\\x\ \textgreater \ 1$
Ответ: x ∈ (1 ; + ∞)