# Homework Help: Integrating ln(3x)

1. Sep 25, 2014

### mshiddensecret

1. The problem statement, all variables and given/known data

Integrate: (8)/(xln(3x))dx

2. Relevant equations

3. The attempt at a solution

I seperated the equations into 8/x and 1/(ln3x). I sub u for ln(3x) and I got 1/x for du. Since I had 8/x, I made it 8du. So the new integration will be 8/udu. I integrated so it will be 8lnu and then it will become 8ln(ln3x). What's next?

2. Sep 25, 2014

### LCKurtz

Not much. Just add the constant of integration. And you might want absolute value bars:$$8\ln |\ln(3x)|+C$$