Math Help - how to rewrite logarithm?

1. how to rewrite logarithm?

given the logarithm 7^(log7(x^2)-8log7(y)) , how can you rewrite as a single term that doesnt contain a logarithm?

2. Re: how to rewrite logarithm?

$7^{log_7 x^2 - log_7 y^8}$

$7^{log_7 \frac{x^2}{y^8}}$

can you finish?

3. Re: how to rewrite logarithm?

no i can get it there, but thats where i get stuck and cant figure out how to get it into a single term without a log

4. Re: how to rewrite logarithm?

By definition:
$\large x^{log_{x}a}=a \Rightarrow 7^{log_7 \frac{x^2}{y^8}}=\frac{x^2}{y^8}$