Rewriting a logarithmic expression using multiple terms

The video tutorial explains how to expand logarithmic expressions using properties of logarithms. It covers the multiplication property, which allows the separation of a product inside a logarithm into the addition of two logs with the same base. The tutorial also discusses the power property, which enables bringing down an exponent as a multiplier in front of the logarithm. The final expression is simplified using these properties.

Why is it incorrect to separate the expression (Y - 4) when applying logarithmic properties?

What is the final expression for log base three of (X * (Y - 4)^2) after applying the properties of logarithms?