Write an equivalent expression in exponential form.
-$\log _ { 4 } \left( \frac { 1 } { 16 } \right) = - 2$
A) $4 ^ { - 2 } = \frac { 1 } { 16 }$
B) $24 = \frac { 1 } { 16 }$
C) $\left( \frac { 1 } { 16 } \right) ^ { 2 } = 4$
D) $41 / 16 = 2$

Question

Quizplus · Accepted Answer

The logarithmic equation $\log _ { 4 } \left( \frac { 1 } { 16 } \right) = - 2$ can be rewritten in exponential form as $4 ^ { - 2 } = \frac { 1 } { 16 }$, which matches choice A.

Write an Equivalent Expression in Exponential Form log⁡4(116)=−2\log _ { 4 } \left( \frac { 1 } { 16 } \right) = - 2log4​(161​)=−2

Write an Equivalent Expression in Exponential Form $\log _ { 4 } \left( \frac { 1 } { 16 } \right) = - 2$