Answer
$\ln(\sqrt[3]{x}\cdot y)$
Work Step by Step
$\displaystyle \frac{1}{3}\ln x+\ln y=\quad $...apply the Power Rule: $\quad \log_{b}(M^{p})=p\cdot\log_{b}\mathrm{M}$
$=\ln x^{1/3}+\ln y\quad $...apply the Product Rule: $\quad \log_{b}(MN)=\log_{b}\mathrm{M}+\log_{b}\mathrm{N}$
$=\ln(x^{1/3}\cdot y)$
