In an exponential decay function, the base of the exponent is a value between 0 and 1. Thus, for some number b > 1, the exponential decay function can be written as

Use this formula, along with the fact that b = eⁿ, to show that an exponential decay function takes the form f (x) = a(e)^−nx for some positive number n.

f(x) = a ( 1 ) .