Answer
$= \frac{2}{5} \ln m + \frac{3}{5} \ln p$
Work Step by Step
$= \ln (\sqrt[5] {m^{2}p^{3}})$
$= \ln (m^{2}p^{3})^{\frac{1}{5}}$
$= \frac{1}{5} \ln (m^{2}p^{3})$
$= \frac{1}{5} \ln m^{2} + \frac{1}{5} \ln p^{3}$
$= \frac{2}{5} \ln m + \frac{3}{5} \ln p$
