Second question is, Differentiate Log

10(x/(x-1))

The first thing i did to make myself confused is thinking that log base 10 x is = lnx.. What is the real relationship? I forgot... and the second thing, could I change the function to f(x) = log base 10 x - log base 10 (x-1) and then differentiate from there?

And the last question is to evaluate the integral of Log base 10 x over x dx

(sorry for having to say it in words)

For this one, the book says something about changing it to lnx/ln10/x... i think... do you have to do it this way?

Thank you for your help