Evaluate: $\log _ { 64 } 4$
A) 3
B) $\frac { 1 } { 16 }$
C) $\frac { 1 } { 3 }$
D) 16

Name: Evaluate: $\log _ { 64 } 4$ A) 3 B) $\frac { 1 } { 16 }$ C) $\frac { 1 } { 3 }$ D) 16
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Question

Quizplus · Accepted Answer

The expression $\log _ { 64 } 4$ asks for the power to which 64 must be raised to get 4. Since $64 = 4^3$, we are looking for the exponent that makes $64^x = 4$. Rewriting 4 as $2^2$ and 64 as $2^6$, we find that $x = \frac{1}{3}$ because $2^6$ raised to the power of $\frac{1}{3}$ equals $2^2$.

Evaluate log⁡644\log _ { 64 } 4log64​4 A) 3 B) 116\frac { 1 } { 16 }161​

Evaluate $\log _ { 64 } 4$ A) 3
B) $\frac { 1 } { 16 }$