# How do you evaluate log_3 root5(9) ?

$\frac{2}{5}$
${\log}_{3} \sqrt[5]{9} = {\log}_{3} \sqrt[5]{{3}^{2}} = {\log}_{3} \left({3}^{\frac{2}{5}}\right)$
So, you will obtain $\frac{2}{5}$