Talk:Burston Prime/@comment-2605:6000:6DC0:D000:C125:6C60:840E:EDFE-20170920065909/@comment-67.11.161.251-20171030111404

@Wammut it's still a logarithmic function, sarcasm notwithstanding. You're missing some of the possible examples and that's what is putting the exaggerated zig-zags into your graph. Remeber that mathematics does not necessarily have to deal in whole numbers and you will find that the efficiency graph is suddenly smoothly logarithmic.

TL;DR:  The roughness and "not 100% a logarithmic function" you're finding is an artifact of using arbitrarily small, whole numbers and not understanding how a logarithm actually works. IF you run a logarithm with only whole numbers, you'll have an identical "jumpy" or "zigzag" or "unevenly graduated" effect.

So, yes. The efficiency is logarithmic. Even if you still disagree that it's a perfect logarithm (you'd be wrong, but...) a logarithm is still a much better descriptor for the efficiency than "linear" which is quite absurd.