As I recall, in my calculus class it went like this: ln(x) (+ a constant) was defined as the integral of 1/x. Then we proved than ln(x) was a logarithm to som

As I recall, in my calculus class it went like this: ln(x) (+ a constant) was defined as the integral of 1/x. Then we proved than ln(x) was a logarithm to some base. Then e was defined as the base of that function. Nobody ever said anything about compoun interest.