Rewrite using the power rule. Assume all variables represent positive real numbers.
-$5 \log _ { b } m$
A) $5 \log _ { b } m ^ { 5 }$
B) $\log _ { b } 2 m$
C) $5 \log _ { b } 2 m$
D) $\log _ { \mathrm { b } } \mathrm { m } ^ { 5 }$

Question

Quizplus · Accepted Answer

The power rule of logarithms states that $\log_b a^n=n\log_b a$. Using this rule, we can rewrite $5\log_b m$ as $\log_b m^5$, which is answer choice D.

Rewrite Using the Power Rule 5log⁡bm5 \log _ { b } m5logb​m

Rewrite Using the Power Rule $5 \log _ { b } m$