The Natural Base, e

Question 1

What is a Natural Logarithm?

Answer 1

A logarithm with base e, written as ln.

Question 2

What is a Natural Logarithmic Function?

Answer 2

The function f(x)=ln(x), which is the inverse of the natural exponential function f(x)=e^x. The domain is all real numbers.

Question 3

What is the Formula for Natural Decay?

Answer 3

N(t)=N(0)e^-kt.

t=time, k=decay constant, N(0) is the initial amount, N(t)=amount remaining.

Question 4

What is the Formula for the Decay Constant?

Answer 4

ln1/2=-tk; k=(ln1/2)/t.