Chapter 10.6, Problem 50PPSE

Solution

To simplify: The given expression.

  $\ln e^3=3$ .

Given:

  $\ln e^3$

Concept used:

The power property of logarithms:

  $\ln x^y=y\ln x$

Calculation:

Consider,

  $\ln e^3$

By using the power property of logarithms, it can be written as

  $\begin{array}{c}\ln e^3=3\ln e\\ =3\left(1\right)\left[\because e^1=e\right]\\ =3\end{array}$