Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.3 - Page 477: 99

True

Applying the Quotient Rule: $\displaystyle \log_{\mathrm{b}}(\frac{\mathrm{M}}{\mathrm{N}})=\log_{\mathrm{b}}\mathrm{M}-\log_{\mathrm{b}}\mathrm{N}$, LHS=$\displaystyle \log_{6}(\frac{x-1}{x^{2}+4})=\log_{6}(x-1)-\log_{6}(x^{2}+4),$ which equals the RHS of the problem statement. So, the problem statement is true.