Question

2log1/5(x-2)+3log5(x-2)<1

Answer 1

$2 log_{ frac{1}{5} } (x-2)+3log_{5}(x-2) textless 1 \ \ ODZ:x textgreater 2 \ \ -2log_{5}(x-2)+3log_{5}(x-2) textless 1 \ \ log_{5}(x-2) textless 1 \ \ log_{5}(x-2) textless log_{5}5 \ \ 5 textgreater 1 \ \ x-2 textless 5;x textless 7$

с учетом ОДЗ, получаем ответ :x∈(2;7)