Question

Solve the following inequality:
${\log }_7\frac{2x-6}{2x-1}>0$

Answer 1

$\frac{2x-6}{2x-1}>1$

$\frac{2x-6-2x+1}{2x-1}>0$

$\frac{-5}{2x-1}>0$

$\frac{5}{2x-1}<0$

$2x-1<0$

$=>x<\frac{1}{2}$