Answer
$\displaystyle \ln(\frac{x^{7}}{y^{3}})$
Work Step by Step
$ 7\ln x-3\ln y=\quad $...apply the Power Rule: $\quad \log_{b}(M^{p})=p\cdot\log_{b}\mathrm{M}$
$=\ln x^{7}-\ln y^{3}\quad $...apply the Quotient Rule: $\displaystyle \quad \log_{b}(\frac{M}{N})=\log_{b}\mathrm{M}-\log_{b}\mathrm{N}$
$=\displaystyle \ln(\frac{x^{7}}{y^{3}})$
