A Beautiful Integral

Calculus Level 4

$\large \displaystyle \int_0^1 \dfrac{\ln (1-x) }{x} \, dx$ If the integral above can be expressed as $-\dfrac AB \pi^C$ , where $A,B$ and $C$ are positive integers with $A$ , and $B$ being coprime integers, find $A+B+C$ .