The function \(f\) is defined by \(f(x) = ab^{\frac{x}{n}}\), where \…

Question

Prompt

The function

f

is defined by

f (x) = a b^{\frac{x}{n}}

, where

a

b

, and

n

are constants, and

b

and

n

are integers. If

f (2) = 6

and

f (5) = 162

, what is the value of

f (7)