Why is it that I never see equations/laws in STEM always using ln(x) and never laws using other log bases
In: Mathematics
I’d gonna pretend your 15, because 5 year-olds don’t know what e is.
It’s due to the definition of ln(x) and e^x, and in particular the derivative of e^x. e is defined (at least it’s one way to define it) by being the number e such that the derivative of e^x is equal to itself, e^x. The derivative of a^x for every other number a is a multiple of itself, c*a^x.
Extend this, and you just use base e for your logs and exponents, because otherwise you’d have to have an extra multiplier in every formula where you cared about rates of change, etc.
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