Question

Log15(x-3)+log15(x-5)<1 Решить неравенство

Answer 1

$log_{15}(x-3)+log_{15}(x-5)\ \textless \ 1\\log_{15}((x-3)(x-5))\ \textless \ log_{15}15\\(x-3)(x-5)\ \textless \ 15\\x^2-8x+15-15\ \textless \ 0\\x(x-8)\ \textless \ 0\\0\ \textless \ x\ \textless \ 8$