Write the logarithmic equation below in exponential form.
$\ln \sqrt [ 6 ] { e } = \frac { 1 } { 6 }$
A) $\frac { 1 } { e ^ { 6 } } = \sqrt [ 6 ] { e }$
B) $e ^ { \frac { 1 } { 6 } } = \sqrt [ 6 ] { e }$
C) $\frac { e } { 6 } = \sqrt [ 6 ] { e }$
D) $e ^ { 6 } = \sqrt [ 6 ] { e }$
E) $e ^ { - 6 } = \sqrt [ 6 ] { e }$

Question

Quizplus · Accepted Answer

The logarithmic equation $\ln \sqrt [ 6 ] { e } = \frac { 1 } { 6 }$ represents the exponent to which the base e must be raised to obtain the value of $\sqrt [ 6 ] { e }$. Rewriting in exponential form, we get $e ^ { \frac { 1 } { 6 } } = \sqrt [ 6 ] { e }$. Therefore, the correct choice is B.

Write the Logarithmic Equation Below in Exponential Form ln⁡e6=16\ln \sqrt [ 6 ] { e } = \frac { 1 } { 6 }ln6e​=61​

Write the Logarithmic Equation Below in Exponential Form $\ln \sqrt [ 6 ] { e } = \frac { 1 } { 6 }$