How to use the properties of logs to expand an expression

The video tutorial explains how to use the properties of logarithms to expand expressions. It covers the basic properties of logs, such as splitting logs of multiplied terms into sums and handling division by converting it into subtraction. The tutorial demonstrates expanding a rational expression and a multiplicative expression using these properties, emphasizing the placement of exponents in front of the log. The video concludes with a practical example of expanding a log expression with multiplication.

Why can't you separate the logarithm when there is addition or subtraction inside?

How do you expand the logarithm of a product involving multiple terms?