Chapter 3 - Review Exercises - Page 513: 55

$\displaystyle \log\frac{3}{x^{3}}$

$\log 3-3\log x=\qquad $ apply the Power Rule: $\qquad \log_{b}(M^{p})=p\cdot\log_{b}\mathrm{M}$ $=\log 3-\log x^{3}=\qquad $ apply the Quotient Rule: $\displaystyle \qquad \log_{b}(\frac{M}{N})=\log_{b}\mathrm{M}-\log_{b}\mathrm{N}$ $=\displaystyle \log\frac{3}{x^{3}}$