Question

if f(x)=a^x and f(3) = 64, find f(2). assume a > 0.

Explanation:

Step1: Substitute x=3 into f(x)

$f(3) = a^3 = 64$

Step2: Solve for a

$a = \sqrt[3]{64} = 4$

Step3: Substitute x=2 and a=4

$f(2) = 4^2$

Answer:

16