Find the unknown value.
-$\log _ { 4 } \frac { 1 } { 64 } = y$
A)3
B) $\frac { 1 } { 3 }$
C) $- \frac { 1 } { 3 }$
D)-3

Name: Find the unknown value. -$\log _ { 4 } \frac { 1 } { 64 } = y$ A)3 B) $\frac { 1 } { 3 }$ C) $- \frac { 1 } { 3 }$ D)-3
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Question

Quizplus · Accepted Answer

To solve for $y$, we rewrite the equation in exponential form: $4^y = \frac{1}{64}$. Since $64 = 4^3$, we have $4^y = 4^{-3}$, which means $y = -3$.

Find the Unknown Value log⁡4164=y\log _ { 4 } \frac { 1 } { 64 } = ylog4​641​=y

Find the Unknown Value $\log _ { 4 } \frac { 1 } { 64 } = y$