Answer
false
Work Step by Step
The Quotient Rule:$\qquad \displaystyle \log_{\mathrm{b}}(\frac{\mathrm{M}}{\mathrm{N}})=\log_{\mathrm{b}}\mathrm{M}-\log_{\mathrm{b}}\mathrm{N}$
$\displaystyle \log(x+9)-\log(x+1)=\log[\frac{x+9}{x+1}]\neq\frac{\log(x+9)}{\log(x+1)}$