I have this question in terms of grown rate (Computer Science Big-OH):
Rank the following three functions: $\log N$, $\log(N^2)$, $\log^2 N$. Explain.
I understand the first two are both $O(N)$ as $\log(N^2) = 2 \log (N)$. I am hoping someone can help explain to me what happens when you square a log. I am assuming this one will have the least growth rate? Also can someone mention on how to use the superscript so i don't have to use the carrot?