Answer
$\log_{b}(x^{2}\cdot y^{3})$
Work Step by Step
$ 2\log_{b}x+3\log_{b}y=\quad $...apply the Power Rule: $\quad \log_{b}(M^{p})=p\cdot\log_{b}\mathrm{M}$
$=\log_{b}x^{2}+\log_{b}y^{3}\quad $...apply the Product Rule: $\quad \log_{b}(MN)=\log_{b}\mathrm{M}+\log_{b}\mathrm{N}$
$=\log_{b}(x^{2}\cdot y^{3})$
