Rewrite as a single logarithm using the quotient rule for logarithms. Assume all variables represent positive real
numbers.
-$$\log _ { 3 } 8 - \log _ { 3 } 12$$
A) $\log _ { 6 } \frac { 2 } { 3 }$
B) $\log _ { 3 } \frac { 3 } { 2 }$
C) $\log _ { 3 } \frac { 2 } { 3 }$
D) $\log _ { 3 } - 4$

Question

Quizplus · Accepted Answer

The quotient rule for logarithms states that $\log_b a - \log_b c = \log_b \frac{a}{c}$. Applying this rule here gives $\log_3 \frac{8}{12}$, which simplifies to $\log_3 \frac{2}{3}$.

Rewrite as a Single Logarithm Using the Quotient Rule for Logarithms