(Professional mathematician and analytic number theorist here.)

This is not correct. When mathematicians (at least analytic number theorists) use the notation "log", it always means to base e, i.e., ln.

Natural logarithms come up all the time in math, and in analytic number theory in particular; base 10 is an artifact of how many fingers we evolved with.

No, I mean they had a chart in the article that says Log(10) = 1. Looks like it's been removed.

Aha. Looks like the editors made (and caught) a mistake then.

I didn't expect to see so many analytic number theorists on HN!