Rewrite as a single logarithm using the quotient rule for logarithms. Assume all variables represent positive real
numbers.
-$\log _ { x } 56 - \log _ { x } 8$
A) $\log _ { x } 48$
B) $\frac { \log _ { x } 56 } { \log _ { x } 8 }$
C) $\log _ { x } 448$
D) $\log _ { x } 7$

Question

Quizplus · Accepted Answer

The quotient rule for logarithms states that $\log_b \frac{M}{N} = \log_b M - \log_b N$. Applying this rule here, we get $\log_x \frac{56}{8} = \log_x 7$.

Rewrite as a Single Logarithm Using the Quotient Rule for Logarithms