Rewrite the logarithmic equation $\log _ { 6 } \frac { 1 } { 36 } = - 2$ in exponential form.
A) $6 ^ { 36 } = - 2$
B) $6 ^ { 1 / 36 } = - 2$
C) $6 ^ { - 2 } = \frac { 1 } { 36 }$
D) $\left( \frac { 1 } { 36 } \right) ^ { - 2 } = 6$
E) $6 ^ { - 2 } = - \frac { 1 } { 36 }$

Question

Quizplus · Accepted Answer

The exponential form of $\log _ { b } a = c$ is $b ^ { c } = a$. Applying this to the given equation, we get $6 ^ { - 2 } = \frac { 1 } { 36 }$.

Rewrite the Logarithmic Equation log⁡6136=−2\log _ { 6 } \frac { 1 } { 36 } = - 2log6​361​=−2

Rewrite the Logarithmic Equation $\log _ { 6 } \frac { 1 } { 36 } = - 2$