I'm working on a math problem which might be solvable if I can re-express $\log(N+x)$ as $\log(N) +$ 'something.
The problem I am having with the Taylor series expansion about $x=0$ is that it carries infinitely higher powers of $N$ in the terms of the expansion, see here
Do you know how I might expand $\log(N+x)$ as $\log(N) +$ something? Any advice/comments/suggestions would really go a long way as I'm quite stuck.
Thanks for taking the time to consider this.