Answer:
The value of f(2) is 25.
Step-by-step explanation:
Given,
[tex]f(x) = a^x[/tex]
[tex]\implies f(3) = a^3[/tex]
According to the question,
[tex]f(3)=125[/tex]
[tex]\implies a^3=125\implies a = (125)^\frac{1}{3}=5[/tex]
Hence the function would be,
[tex]f(x) = 5^x[/tex]
If x = 2,
[tex]f(2)=5^2\implies f(2)=25[/tex]
