Answer
$\log_{b}(x^{5}\cdot y^{6})$
Work Step by Step
$ 5\log_{b}x+6\log_{b}y=\quad $...apply the Power Rule: $\quad \log_{b}(M^{p})=p\cdot\log_{b}\mathrm{M}$
$=\log_{b}x^{5}+\log_{b}y^{6}\quad $...apply the Product Rule: $\quad \log_{b}(MN)=\log_{b}\mathrm{M}+\log_{b}\mathrm{N}$
$=\log_{b}(x^{5}\cdot y^{6})$
