What does the plot of multiplicity, $W$, vs $N$, and the natural log of multiplicity, $ln(W)$, vs $N$ look like?

What does the plot of multiplicity, W, and the natural log of multiplicity, ln(W), look like as a function of N, the number of molecules in the system?

This was a conceptual question posed in my introductory thermodynamics textbook, that I was not too sure about. Considering the positional and energetic definitions of multiplicity, I am not too sure how to reach an answer for this question.