Write the word or phrase that best completes each statement or answers the question.
-$$\log _ { 8 } \frac { 1 } { 512 } = - 3$$
A) $\frac { 1 } { 512 } = 3 ^ { - 8 }$
B) $\left( \frac { 1 } { 512 } \right) ^ { - 3 } = 8$
C) $8 ^ { - 3 } = \frac { 1 } { 512 }$
D) $\frac { 1 } { 512 } = - 3 ^ { 8 }$

Question

Quizplus · Accepted Answer

The logarithmic equation $\log _ { 8 } \frac { 1 } { 512 } = - 3$ can be rewritten in exponential form as $8 ^ { - 3 } = \frac { 1 } { 512 }$, which matches choice C.

Write the Word or Phrase That Best Completes Each Statement log⁡81512=−3\log _ { 8 } \frac { 1 } { 512 } = - 3log8​5121​=−3

Write the Word or Phrase That Best Completes Each Statement $\log _ { 8 } \frac { 1 } { 512 } = - 3$