Given $\displaystyle \log 2 = 0.3010$ and $\displaystyle \log 3 = 0.4771$ find $\displaystyle \log_5{512}$

I was only able to simplify to $\displaystyle 9\log_5{2}$, but I don't know what to do. I tried using the change of base formula, but that left me with $\displaystyle \log 5$ which I couldn't compute algebraically