1. I assume that you want to solve for n the inequality

2. What kind of number is n? Real or natural? I'm going to use real numbers!

3. It is a little bit easier to solve the equation

for n, but I doubt that you can solve this equation algebraically. So use a numerical iterative method.

With Newton's method you'll get

4. To answer your question: For the 2nd term is smaller than the 1st one.