Find the exact value of the logarithmic expression.
-$\log _ { 4 } \frac { 1 } { 64 }$
A) $- \frac { 1 } { 3 }$
B) 3
C) $\frac { 1 } { 3 }$
D) $- 3$

Name: Find the exact value of the logarithmic expression. -$\log _ { 4 } \frac { 1 } { 64 }$ A) $- \frac { 1 } { 3 }$ B) 3 C) $\frac { 1 } { 3 }$ D) $- 3$
Brand: Quizplus
Rating: 4.9 (35 reviews)

Question

Quizplus · Accepted Answer

The expression $\log_4 \frac{1}{64}$ asks for the power to which 4 must be raised to get $\frac{1}{64}$. Since $4^3 = 64$, it follows that $4^{-3} = \frac{1}{64}$. Therefore, the answer is $-3$.

Find the Exact Value of the Logarithmic Expression log⁡4164\log _ { 4 } \frac { 1 } { 64 }log4​641​

Find the Exact Value of the Logarithmic Expression $\log _ { 4 } \frac { 1 } { 64 }$