Chapter 6.1, Problem 59SE

In an exponential decay function, the base of theexponent is a value between $0$ and $1.$ Thus, for somenumber $b>1,$ the exponential decay function canbe written as $f\left(x\right)=a\cdot {\left(\frac{1}{b}\right)}^x.$ Use this formula, alongwith the fact that $b=e^n,$ to show that an exponential decay function takes theform $f\left(x\right)=a{\left(e\right)}^{-nx}$ for somepositive number $n.$