# How do you solve 6.5log_5(3x)=20?

${\log}_{5} \left(3 x\right) = \frac{20}{6.5}$
$3 x = {5}^{\frac{20}{6.5}}$
$x = {5}^{\frac{20}{6.5}} / 3$
$x \cong 47.16$