Solve the logarithmic equation. Give an exact solution.
-$\ln \sqrt [ 5 ] { \mathrm { e } } = \mathrm { x }$
A) $\left\{ \mathrm { e } ^ { 1 / 2 } \right\}$
B) $\left\{ \ln \frac { 1 } { 2 } \right\}$
C) $\{ 2 \}$
D) $\left\{ \frac { 1 } { 2 } \right\}$

Question

Quizplus · Accepted Answer

The equation simplifies to $\ln(e^{1/5}) = x$, which further simplifies to $1/5 = x$, hence $x = 1/2$.

Solve the Logarithmic Equation ln⁡e5=x\ln \sqrt [ 5 ] { \mathrm { e } } = \mathrm { x }ln5e​=x

Solve the Logarithmic Equation $\ln \sqrt [ 5 ] { \mathrm { e } } = \mathrm { x }$