I don't know how to make the symbols yet so if you don't understand what the problem is feel free to say it, I can't seem to get a hold on integrating log quotients.

The Problem: Indefinite integral of (log10(x))/x dx --> log (base 10)x divided by x --> seems really easy, i just don't know why I can't figure it out. I tried by parts but I got confused thinking that I can't use that method for quotients, I'm not even sure if that's true if not please tell me.