Use properties of logarithms to expand the logarithmic expression as much as possible.
-$$\log _ { 4 } \frac { 625 } { 7 }$$
A) $\log _ { 4 } 7 - \log _ { 4 } 625$
B) $\log _ { 4 } 625 + \log _ { 4 } 7$
C) $\log _ { 4 } 625 - \log _ { 4 } 7$
D) $\log _ { 4 } 5 - \log _ { 4 } 7$

Question

Quizplus · Accepted Answer

The property of logarithms that applies here is $\log_b \frac{x}{y} = \log_b x - \log_b y$, which directly leads to choice C: $\log _ { 4 } 625 - \log _ { 4 } 7$.

Use Properties of Logarithms to Expand the Logarithmic Expression as Much