I am trying to find $$ \lim_{x \to \infty} \biggl(\frac{x + \log9}{x - \log9} \biggr)^x $$

While I know the methods for getting limits of various indeterminate forms like like $\frac{0}{0}, \frac{\infty}{\infty},1^\infty,0\times0,\infty \times \infty$ this appears to be $\bigl(\frac{\infty}{\infty}\bigr)^\infty$.

How to convert it to some other indeterminate form whose limit can be found by standard methods.