Q 52. - Precalculus Enhanced with Graphing Utilities

Question

Use a calculator to evaluate the expression. Round your answer to three decimal places.

$\frac{\ln \frac{2}{3}}{-0.1}$

Step-by-Step Solution

Answer

The value of,  $\frac{\ln \frac{2}{3}}{-0.1}$is, $x\approx 4.055$.

Step 1. Given Information

The given logarithmic expression is $\frac{\ln \frac{2}{3}}{-0.1}$.

Step 2. Formula used

Apply a scientific calculator.

Press $\left(\ln \right)$ button and write the value of $x$  in  $( )$ after $\left(\ln \right)$ .

Press  $\left(=\right)$ button on the calculator.

It will give the exact value of the logarithmic number.

Round the value upto three decimal places.

Step 3. Finding Solution

Consider the given logarithm.

$\frac{\ln \frac{2}{3}}{-0.1}$

Now, apply a scientific calculator.

Press $\left(\ln \right)$ button and write the number $\frac{2}{3}$ in $( )$  after $\left(\ln \right)$ .

Then press $\left(÷\right)$  button and write the number $-0.1$

Press $\left(=\right)$  button on the calculator.

The exact value of  $\frac{\ln \frac{2}{3}}{-0.1}$ will be

$4.054651081$

Round the value upto three decimal places.

$4.055$

The value rounded to three decimal places  is, $x\approx 4.055$.