Question

Determine if the function f(x) =3^2x-3is exponential. If it is exponential, determine the base, b, when the function is written in the form f(x) = ab^x

Answer 1

Given the exponential function:

`f(x)=3^(2x-3)`

notice that we can write it in the ab^x form in the following way:

`f(x)=3^(2x-3)=3^(-3)\cdot3^(2x)=3^(-3)\cdot(3^2)^x=3^(-3)(9)^x^{}`

therefore, b = 9