Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
-$\log _ { C } x ^ { 4 }$
A) $4 \log _ { C } x$
B) $- 4 \log _ { c } x$
C) c $\log _ { 4 } x$
D) $- \operatorname { clog } 4 x$

Question

Quizplus · Accepted Answer

The property of logarithms that applies here is $\log_b(m^n) = n \log_b(m)$, which means the logarithm of a power can be expanded as the exponent times the logarithm of the base. Therefore, $\log_C x^4 = 4 \log_C x$.

Use Properties of Logarithms to Expand the Logarithmic Expression as Much