Expanding logarithmic expressions

The video tutorial explains how to expand a logarithmic expression by breaking down a product into individual logarithms and then finalizing the expansion by moving exponents in front of the logarithms. The process involves using the properties of logarithms to simplify and expand the expression step by step.

How does the concept of logarithmic expansion relate to the properties of logarithms?

Describe the final expanded form of the logarithmic expression presented in the text.