Question

evaluate \\( \ln ( 7 ) \\) using a calculator. round to hundredths.

provide your answer below:

Explanation:

Step1: Recall the natural logarithm

The natural logarithm $\ln(x)$ is the logarithm to the base $e$ (where $e\approx2.71828$). To evaluate $\ln(7)$, we use a calculator with a natural logarithm function.

Step2: Calculate $\ln(7)$

Using a calculator, we find that $\ln(7)\approx1.945910149$.

Step3: Round to hundredths

Rounding $1.945910149$ to the hundredths place (two decimal places), we look at the third decimal place, which is $5$. When the digit to the right of the desired decimal place is $5$ or greater, we round up the previous digit. So, $1.945910149$ rounded to the hundredths place is $1.95$.

Answer:

$1.95$