“The formalism, which is reflected in 10M+ papers in physics and all possible life-sciences derivatives, makes a clear distinction between base-e and base-10 logarithms.”

I’m not sure what you mean here. If you’re saying that the vast majority of papers in physics and all possible life-sciences derivatives mean log base 10 when they write log(x), then (1) there is no possible way you could have verified that claim making it entirely useless and (2) I personally think it’s wrong in my anecdotal experience. Personally I would assume that log(x) usually means log base e, but if I actually needed to be 100% sure of the base (and often you don’t!) I would check.

Regardless you’re basically making the claim with these series of posts that it’s easier to get _all_ people to agree on a single standard (even though, as I already explained, there are many good reasons to mean different things by log(x) in different circumstances) than it is to try to convince more individuals to read documentation. The former, of course, will _never_ happen whereas the latter can happen step by step with every person you teach.

In any case, I wish you luck in your (entirely hopeless) endeavor of standardizing this notation. To everyone else reading: know that there is no consistent standard meaning of log(x) and if you really want to know what someone means, you will always need to read docs/ask/read code/etc.