Logarithms Part 2: Base Ten Logs, Natural Logs, and the Change-Of-Base Property

The video tutorial explains logarithmic bases, focusing on the common logarithm (base 10) and the natural base e. It describes how e is derived from interest calculations and its significance as an irrational number. The tutorial introduces natural logarithms, abbreviated as ln, and explains how to use them. It also covers the change of base property, which allows conversion of logarithms to different bases for easier calculation.

What is the implied base of a logarithm if no base is written?

What is the relationship between logarithmic scales and pH levels?

Explain the significance of the natural base e in logarithms.

What happens to the value of the expression as n approaches infinity in the context of calculating interest?

Why is e considered an irrational number?

How does the change of base property work in logarithms?

Describe how to convert log base 7 of x to natural logs.