Use properties of logarithms to expand the logarithmic expression as much as possible.
-$\log _ { 8 } x ^ { 3 }$
A) $3 \log _ { 8 } x ^ { 3 }$
B) $3 \log _ { 8 } x$
C) $8 \log _ { 3 } x$
D) $8 \log x$

Question

Quizplus · Accepted Answer

The property of logarithms that allows you to bring the exponent in front of the log is $\log_b(m^n) = n \log_b(m)$. Applying this to $\log_8(x^3)$, we get $3 \log_8(x)$.

Use Properties of Logarithms to Expand the Logarithmic Expression as Much