Write as an exponential equation.
-$\log _ { 1 / 4 } 256 = - 4$
A) $256 ^ { 1 / 4 } = 4$
B) $\left( \frac { 1 } { 4 } \right) ^ { - 4 } = 256$
C) $( - 4 ) ^ { 1 / 4 } = 256$
D) $\left( \frac { 1 } { 4 } \right) ^ { 4 } = 256$

Question

Quizplus · Accepted Answer

The exponential form of the logarithmic equation $\log _ { 1 / 4 } 256 = - 4$ is $\left( \frac { 1 } { 4 } \right) ^ { - 4 } = 256$, where the base of the logarithm becomes the base of the exponent, the right side of the logarithmic equation becomes the result of the exponentiation, and the logarithm's argument becomes the exponent's result.

Write as an Exponential Equation log⁡1/4256=−4\log _ { 1 / 4 } 256 = - 4log1/4​256=−4

Write as an Exponential Equation $\log _ { 1 / 4 } 256 = - 4$