Question

1. use technology to evaluate the logarithm. round your answer to three decimal places.

\ln\frac{1}{3}=\square

Explanation:

Step1: Recall logarithm property

We know that $\ln\frac{1}{x}=-\ln x$. So, $\ln\frac{1}{3}=-\ln 3$.

Step2: Calculate $\ln 3$

Using a calculator, $\ln 3\approx1.098612$.

Step3: Find $\ln\frac{1}{3}$

Multiply $\ln 3$ by -1: $-\ln 3\approx - 1.098612$.

Step4: Round to three decimals

Rounding -1.098612 to three decimal places gives -1.099.

Answer:

-1.099