Which do you write as your default notation for the logarithm to the base e, i.e. the natural logarithm? Personally, I write it as log(x), and I cringe whenever I see ln(x) used. This is mostly because just about no mathematician in the world cares about the base 10 logarithm. As far as I have learned, log(x) means base e to mathematicians, base 10 to engineers, and base 2 to computer scientists. Funny thing is, most calculators are made my engineers, which is why they have log(x) as the base 10, and ln(x).