# How to find \$int_{0}^{infty} log(1+x)(x^a)exp(-bx) d_x\$ step by step?

How can I find $$int_{0}^{infty} log_{2}(1+x)x^aexp(-bx) d_x$$ step by step?

I’ve got a Mathematica solution, but I’d like to know and understand the steps taken to reach the solution.

Thanks!