Run time for a specific loop confusion

I have a loop: for(int i = 0; i < N; i*=5) {...}

where {...} is some statement.

I’m trying to understand its run time. So, far I know that:

  • We start with $ i = 0$

  • We finish when $ i = n-1$

  • $ i$ is incremented by being multiplied by 5 = $ i^5$

So, would the run-time be $ \log_5(n-1)$ ? The reason I’m not sure it’s because I thought when analyzing algorithms we had to use base 2 log functions. If the latter is the case how would I got about converting $ \log_5$ to $ \log_2$ ?