Question

Evaluate or simplify the expression without using a calculator.

ln

Answer 1

\[\ln \sqrt[4]{e}\]

Answer 2

\[\Large \ln (\sqrt[4]{e})\]


\[\Large \ln (e^{\frac{1}{4}})\]


\[\Large \frac{1}{4}\ln (e)\]


\[\Large \frac{1}{4}(1)\]


\[\Large \frac{1}{4}\]


So \[\Large \ln (\sqrt[4]{e}) = \frac{1}{4}\]