Use properties of logarithms to expand the logarithmic expression as much as possible.
-$\log _ { 3 } 7 ^ { 5 }$
A) $7 \log _ { 3 } 5$
B) $5 \log _ { 3 } 7$
C) $3 \log _ { 5 } 7$
D) $15 \log 7$

Question

Quizplus · Accepted Answer

The property of logarithms that applies here is $\log_b(m^n) = n \log_b(m)$. Applying this to the given expression, we get $5 \log_3(7)$, which matches choice B.

Use Properties of Logarithms to Expand the Logarithmic Expression as Much