Expanding logarithmic expressions

The video tutorial explains how to expand a natural logarithm by using the properties of logarithms. It begins with the concept of the difference of two properties and demonstrates how to break a logarithm into a difference of two separate logarithms. The tutorial then applies the power rule, showing how to rewrite a logarithm with a power in front. The video concludes with a summary of the steps involved in expanding a natural logarithm.

What is the final expression for the natural logarithm as derived in the text?

Explain how to expand a natural logarithm based on the provided information.