Write an equivalent expression in exponential form.
-$\log _ { 3 } \left( \frac { 1 } { 9 } \right) = - 2$
A) $2 ^ { 3 } = \frac { 1 } { 9 }$
B) $3 ^ { 1 / 9 } = 2$
C) $3 ^ { - 2 } = \frac { 1 } { 9 }$
D) $\left( \frac { 1 } { 9 } \right) ^ { 2 } = 3$

Question

Quizplus · Accepted Answer

The logarithmic equation $\log _ { 3 } \left( \frac { 1 } { 9 } \right) = - 2$ can be rewritten in exponential form as $3 ^ { - 2 } = \frac { 1 } { 9 }$, which matches choice C.

Write an Equivalent Expression in Exponential Form log⁡3(19)=−2\log _ { 3 } \left( \frac { 1 } { 9 } \right) = - 2log3​(91​)=−2

Write an Equivalent Expression in Exponential Form $\log _ { 3 } \left( \frac { 1 } { 9 } \right) = - 2$