Using Logarithms with Exponents

Use the power reducing theorem:

and

According to the rule for exponents of logarithms,. As a direct application of this,.

Using the logarithm rules, exponents within logarithms can be removed and simply multiplied by the remaining logarithm. This expression can be simplified as

Based on the definition of exponents, .

Then, we use the following rule of logarithms:

Thus, .