I'd have used actual logarithmic scales, because I don't think it's clear to everyone what you mean by "Logged".

That way one could directly read off numbers without having to guess which base you used. Depending on personal background, people would assume bases e, 10 or even 2.

Personally I find the regression line a bit pointless (what do we learn from it?) and I absolutely hate the grey shaded areas around it. Truth is, OP has no idea about the underlying distribution and the grey band fakes a level of sophistication that just isn't there.