calculus - Solve a limit without L'Hopital: $ lim_{xto0} frac{ln(cos5x)}{ln(cos7x)}$

I need to solve this limit without using L'Hopital's rule. I have attempted to solve this countless times, and yet, I seem to always end up with an equation that's far more complicated than the one I've started with.

$$ \lim_{x\to0} \frac{\ln(\cos5x)}{\ln(\cos7x)}$$

Could anyone explain me how to solve this without using L'Hopital's rule ? Thanks!