Rewrite as a single logarithm using the quotient rule for logarithms. Assume all variables represent positive real
numbers.
-$$\log _ { x } 35 - \log _ { x } 7$$
A) $\frac { \log _ { x } 35 } { \log _ { x } 7 }$
B) $\log _ { x } 245$
C) $\log _ { x } 5$
D) $\log _ { x } 28$

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 $\log_x \frac{35}{7} = \log_x 5$.

Rewrite as a Single Logarithm Using the Quotient Rule for Logarithms