Question

Log3/5 25/9=x-2 ? algebra 2

Answer 1

$log_{\frac{3}{5}}\left(\frac{25}{9}\right)=x-2\\ (\frac{3}{5})^{x-2}=(\frac{3}{5})^{-2}\\ \\ x-2=-2\\ \\ \boxed{x=0}$

Answer 2

$log_{ \frac{3}{5} } \frac{25}{9} =x-2\\\\log_{ \frac{3}{5} } (\frac{3}{5})^{-2} =x-2\\\\-2=x-2\\\\-x=-2+2\\\\-x=0\\\\x=0$