Rewrite as a single logarithm using the quotient rule for logarithms. Assume all variables represent positive real numbers.
-$\log _{6} 9-\log _{6} y$
A) $\log _{6}(9-y)$
B) $\log _{12} \frac{9}{y}$
C) $\log _{6} \frac{9}{y}$
D) $\log _{6} \frac{y}{9}$

Question

Quizplus · Accepted Answer

The quotient rule for logarithms states that $\log_b a - \log_b c = \log_b \frac{a}{c}$, so $\log _{6} 9-\log _{6} y = \log _{6} \frac{9}{y}$.

Rewrite as a Single Logarithm Using the Quotient Rule for Logarithms