Question

Resolva a inequação exponencial:

$125 . 2^{x} \ \textgreater \ 8 . 5^{x}$

Answer 1

$5^3\cdot 2^x\ \textgreater \ 2^3\cdot 5^x \\ \\ 5^{3-x}\ \textgreater \ 2^{3-x}\\ \\ 3-x\ \textgreater \ 0\\ \\ \boxed{x\ \textless \ 3}$