Question

1. use technology to evaluate the logarithm. round your answer to three decimal places. 3 ln 0.5 = \square

Explanation:

Step1: Recall the natural logarithm of 0.5

First, we know that $\ln(0.5)$ is the natural logarithm of 0.5. Using a calculator, $\ln(0.5) \approx -0.693147$.

Step2: Multiply by 3

Now, we need to multiply this value by 3. So, $3\times\ln(0.5)=3\times(-0.693147)$.
Calculating this, we get $3\times(-0.693147) \approx -2.079441$.

Step3: Round to three decimal places

Rounding -2.079441 to three decimal places, we look at the fourth decimal place, which is 4. Since 4 < 5, we don't round up the third decimal place. So, it rounds to -2.079.

Answer:

-2.079