Answer and Explanation:
See the attached image for the equation proof.
Essentially what we do is:
- rewrite [tex]b[/tex] as [tex]a^{\log_a(b)}[/tex]
- use the power of a power rule to rewrite the [tex]y[/tex] exponent as multiplication
- apply the definition of the logarithm: [tex]\log_a(a^b) = b[/tex]
