The justification of the third step in her proof of the property of logarithms is; ; Power rule of exponents
<h3>What are properties of Logarithms?</h3>
From the full question, the second step stopped at;
Now, according to Power Rule for Exponents we know that (a^m)ⁿ = a^(m*n). That means that to raise a number with an exponent to a power, we will multiply the exponent times the power.
Thus, will give us
using power rule of exponents
Read more about Properties of Logarithms at; brainly.com/question/14765705