Question

Use a calculator to find the natural logarithm, base e. In 0.0473 In 0.0473= (Round to four decimal places as needed.)

Answer 1

The exercise says that you must use your calculator to find the Natural logarithm:

`\ln (0.0473)`

If you have a Scientific calculator, you can look for a bottom named "Ln". Press that bottom and write the corresponding number inside the parentheses. It will look in this form:

`Ln(0.0473)`

Press the bottom "=" to get the result. This is:

`=-3.05124498348`

You need to round this result to four decimal places. This means that you must round it to the nearest ten thousandths:

-Look at the number in the hundred thousandths place.

- If the digit located next to it ,in the hundred thousandths place, is equal or greater than 5, you must round up (add 1 to the digit in the ten thounsandths place) and remove all the numbers to the right.

- If the digit located in the hundred thousandths place is less than 5, you must round down and remove all the digits to the right.

In this case, you can see that the digit in the hundred thousandths place is 4. Then, you must round down.

So the answer is

`\approx-3.0512`

.