Chapter 11.6, Problem 19E

To determine

To calculate: The value of expression given as $\ln 0.763$ .

Answer to Problem 19E

The value of $\ln 0.763$ is $-0.2705$ .

Explanation of Solution

Given information:

The given expression is $\ln 0.763$ .

Formula used:

The base in natural logarithm is as $\ln x={\log }_{e}x$ .

Where the value of $e\approx 2.718$

Calculation:

Consider the given expression,

  $\ln 0.763$

Rewrite the above expression as like this,

  $\ln 0.763={\log }_{e}0.763$ .

Now, apply the property of exponential functions:

  $\begin{array}{c}{\log }_{e}0.763=t\\ e^t=0.763\\ e^t=e^{-0.2705}\\ t=-0.2705\end{array}$

Therefore, the value of $\ln 0.763$ is $-0.2705$ .