Chapter 12.1, Problem 7MRE

To determine

To simplify.

Answer to Problem 7MRE

  $\ln \sqrt[3]{e^2}=\frac{2}{3}$

Explanation of Solution

Given information :

  $\ln \sqrt[3]{e^2}$

We shall write the given as,

  $\ln e^{\frac{2}{3}}$

Now we shall use identity $\ln e^x=x\ln e$

  $\begin{array}{c}\ln e^{\frac{2}{3}}=\frac{2}{3}\ln e\\ =\frac{2}{3}\end{array}$

( $\ln e=1$ )