Chapter 3 - Section 3.3 - Properties of Logarithms - Exercise Set - Page 475: 51

$\ln(\sqrt{x}\cdot y)$

$\displaystyle \frac{1}{2}\ln x+\ln y=\quad $...apply the Power Rule: $\quad \log_{b}(M^{p})=p\cdot\log_{b}\mathrm{M}$ $=\ln x^{1/2}+\ln y\quad $...apply the Power Rule: $\quad \log_{b}(M^{p})=p\cdot\log_{b}\mathrm{M}$ $=\ln(x^{1/2}y)$