Nitpick upon nitpick, the base may be 2 rather than e but IIRC the difference between lg(n) and log2(n) is a constant, and the log/lg term dominates, so it still is 0(log). I think.
Big fleas have little fleas upon their backs to bite 'em \ And little fleas have lesser fleas, and so, ad infinitum.
Big fleas have little fleas upon their backs to bite 'em \ And little fleas have lesser fleas, and so, ad infinitum.
(https://en.wikipedia.org/wiki/The_Siphonaptera>