Understanding Natural Logarithms

The video tutorial explains how to find the natural logarithm of 3 using a calculator. It begins by introducing the concept of natural logarithms and log base e, followed by an estimation of the natural log of 3. The tutorial then demonstrates how to use a calculator to find the natural log and rounds the result to the nearest hundredth, explaining the rounding process in detail.

What is the task given in the video regarding the natural log of 3?

• Compare the natural log of 3 with other logarithms.

• Explain the concept of natural logarithms without calculations.

• Find the natural log of 3 using a calculator and round to the nearest hundredth.

• Find the natural log of 3 without using a calculator.

What does the natural log of a number represent?

• The power to which 5 must be raised to get that number.

• The power to which 10 must be raised to get that number.

• The power to which e must be raised to get that number.

• The power to which 2 must be raised to get that number.

What is the approximate value of e?

• 2.17

• 1.61

• 2.71

• 3.14

What is the natural log of 3 rounded to the nearest hundredth?

• 1.11

• 1.10

• 1.08

• 1.09

Why do we round the natural log of 3 up to 1.10?

• Because the thousandths place is greater than or equal to 5.

• Because the hundredths place is greater than 5.

• Because the thousandths place is exactly 5.

• Because the thousandths place is less than 5.