Learn how to expand a logarithmic expression with three terms

The video tutorial explains how to expand a logarithmic expression using the product and power rules. The instructor starts with an example involving log base two of seven YX squared, demonstrating the separation of terms using the product rule. Then, the power rule is applied to further simplify the expression. The final expanded form is presented as log base two of seven plus log base two of Y plus two times log base two of X.

Discuss the significance of separating logarithmic terms in calculations.

What is the final expanded form of log base two of seven plus log base two of Y plus log base two of X squared?