Question

Решите неравенство log1/5 (x-3)>2

Answer 1

$log frac{1}{5} (x-3) textgreater 2$
$(x-3) textgreater frac{1}{5} ^{2}$
$x-3 textgreater frac{1}{25}$
$x textgreater frac{1}{25}+3$
$x textgreater frac{1+75}{25}$
$x textgreater frac{76}{25}$
$x textgreater 3,04$
x∈(3,04;+∞)