Expanding logarithms with parenthesis

The video tutorial explains how to expand logarithms using specific rules. It covers three main properties: the product rule, the quotient rule, and the power rule. The instructor demonstrates how to apply these rules to break down complex logarithmic expressions into simpler components. Common mistakes made by students are highlighted, and solutions are provided to avoid these errors. The tutorial emphasizes the importance of using parentheses correctly and applying the distributive property when necessary.

How can the distributive property be applied to logarithmic expressions?

What is the final answer when applying the properties discussed to log base 5 of (X^2 / (Y^2 * Z^3))?