Use Natural Logarithms
Evaluate or simplify the expression without using a calculator.
-$\ln \sqrt [ 6 ] { \mathrm { e } }$
A) $\frac { 1 } { 6 }$
B) $\frac { e } { 6 }$
C) 6
D) $6 \mathrm { e }$ Evaluate the expression without using a calculator.

Question

Quizplus · Accepted Answer

Using the property that $\ln \sqrt [ n ] { a } = \frac { \ln a } { n }$, we have:
$$\ln \sqrt [ 6 ] { \mathrm { e } } = \ln \left( \mathrm { e } ^ { \frac { 1 } { 6 } } \right) = \frac { \ln \mathrm { e } } { 6 } = \frac { 1 } { 6 }$$

Use Natural Logarithms Evaluate or Simplify the Expression Without Using ln⁡e6\ln \sqrt [ 6 ] { \mathrm { e } }ln6e​

Use Natural Logarithms
Evaluate or Simplify the Expression Without Using $\ln \sqrt [ 6 ] { \mathrm { e } }$