Question

log1/7(x-4)>-1

Помогите срочно

Answer 1

$log _{ \frac{1}{7} }(x-4)\ \textgreater \ -1\\\\ \left \{ {{x-4\ \textgreater \ 0} \atop {x-4\ \textless \ ( \frac{1}{7}) ^{-1} }} \right.\\\\ \left \{ {{x\ \textgreater \ 4} \atop {x-4\ \textless \ 7}} \right. \\\\ \left \{ {{x\ \textgreater \ 4} \atop {x\ \textless \ 11}} \right.$
Ответ : x ∈ (4 ; 11)