Question

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

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

Short answer

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

Step-by-step solution

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,$x\approx 4.055$.