Pre-Calculus - Learn How To Evaluate a Natural Log Using the Rules of Logarithms

The video tutorial explains the concept of natural logarithms, emphasizing that 'Ln' denotes a logarithm with base E. It reviews general logarithm rules, applicable to both natural and regular logarithms. A specific rule is highlighted: log base B of B raised to the X equals X, demonstrated with an example where the final answer is three. The tutorial concludes by addressing logarithms without a specified base.

What is the base of the natural logarithm (Ln)?

• Base 10

• Base 2

• Base 5

• Base E

Which of the following statements is true about logarithm rules?

• They only apply to natural logarithms.

• They do not apply to any logarithms.

• They only apply to regular logarithms.

• They apply to both natural and regular logarithms.

If you have log base B of B raised to the X, what is the result?

• B

• X

• 0

• 1

What is the result of log base 3 of 3 raised to the 4?

• 1

• 3

• 4

• 12

What happens if a logarithm does not have a specified base?

• It defaults to base 10.

• It defaults to base 2.

• It defaults to base E.

• It has no base.