Write as an exponential equation.
-$\log _ { \mathrm { e } } \frac { 1 } { \mathrm { e } ^ { 2 } } = - 2$
A) $\left( \frac { 1 } { \mathrm { e } ^ { 2 } } \right) ^ { - 2 } = \mathrm { e }$
B) $e ^ { - 2 } = \frac { 1 } { e ^ { 2 } }$
C) $- 2 ^ { e } = \frac { 1 } { \mathrm { e } ^ { 2 } }$
D) $\left( \frac { 1 } { \mathrm { e } ^ { 2 } } \right) ^ { \mathrm { e } } = - 2$

Question

Quizplus · Accepted Answer

The exponential form of the logarithmic equation $\log _ { \mathrm { e } } \frac { 1 } { \mathrm { e } ^ { 2 } } = - 2$ is $e ^ { - 2 } = \frac { 1 } { e ^ { 2 } }$, where the base $e$ raised to the power of the right side of the equation equals the number inside the log.

Write as an Exponential Equation log⁡e1e2=−2\log _ { \mathrm { e } } \frac { 1 } { \mathrm { e } ^ { 2 } } = - 2loge​e21​=−2

Write as an Exponential Equation $\log _ { \mathrm { e } } \frac { 1 } { \mathrm { e } ^ { 2 } } = - 2$