Rewrite the logarithmic equation $\log _ { 4 } \frac { 1 } { 16 } = - 2$ in exponential form.
A) $4 ^ { 16 } = - 2$
B) $4 ^ { 1 / 16 } = - 2$
C) $4 ^ { - 2 } = \frac { 1 } { 16 }$
D) $\left( \frac { 1 } { 16 } \right) ^ { - 2 } = 4$
E) $4 ^ { - 2 } = - \frac { 1 } { 16 }$

Question

Quizplus · Accepted Answer

The exponential form of the logarithmic equation $\log _ { 4 } \frac { 1 } { 16 } = - 2$ is $4 ^ { - 2 } = \frac { 1 } { 16 }$, which correctly represents the relationship between the base (4), the exponent (-2), and the result ($\frac { 1 } { 16 }$).

Rewrite the Logarithmic Equation log⁡4116=−2\log _ { 4 } \frac { 1 } { 16 } = - 2log4​161​=−2

Rewrite the Logarithmic Equation $\log _ { 4 } \frac { 1 } { 16 } = - 2$