Rewrite as a single logarithm using the quotient rule for logarithms. Assume all variables represent positive real numbers.
-$\log _{7} 21-\log _{7} 17$
A) $\log _{7} \frac{17}{21}$
B) $\log _{7} 4$
C) $\log _{14} \frac{21}{17}$
D) $\log _{7} \frac{21}{17}$

Question

Quizplus · Accepted Answer

The quotient rule for logarithms states that $\log_b a - \log_b c = \log_b \frac{a}{c}$, so $\log _{7} 21-\log _{7} 17 = \log _{7} \frac{21}{17}$.

Rewrite as a Single Logarithm Using the Quotient Rule for Logarithms