Pre-Calculus - Evaluating the Difference of Two Logarithms

The video tutorial explains how to evaluate logarithms without a calculator by using properties of logarithms. It starts with an introduction to evaluating logarithms with base 5, highlighting the need for fractions when the result is not a whole number. The tutorial then discusses the properties of logarithms, particularly focusing on condensing multiple logarithms into a single one for easier evaluation. The example used is log base 5 of 75, which is simplified to log base 5 of 25, making it easier to evaluate as 5 raised to the power of 2.

What is the value of log base 5 of 25 and how do you arrive at that answer?

Describe the significance of the number 2 in the context of evaluating log base 5 of 25.