101задания пожалуйста !!!

Решите задачу:

$log_{15}(x-3)+log_{15}(x-5)\ \textless \ 1\; ,\; \; ODZ:\; \left \{ {{x-3\ \textgreater \ 0} \atop {x-5\ \textgreater \ 0}} \right. \; \to \; x\ \textgreater \ 5\\\\log_{15}(x-3)(x-5)\ \textless \ log_{15}15\\\\x^2-8x+15\ \textless \ 15\\\\x(x-8)\ \textless \ 0\\\\+++(0)---(8)+++\\\\0\ \textless \ x\ \textless \ 8\\\\ \left \{ {{0\ \textless \ x\ \textless \ 8} \atop {x\ \textgreater \ 5}} \right. \; \; \to \; \; 5\ \textless \ x\ \textless \ 8\\\\x\in (5,8)$