Evaluating a Logarithmic Integral

Evaluate the integral: $$\int_0^1 \frac{\ln(1+x)}{x}\mathrm{d}x$$The answer is in the form $\frac{a\pi^b}{c}$ where $a$, $b$, $c$ are positive integers and $\gcd(a,c) =1$. Input the value of $a+b+c$.