Answer:
The value of f(2) is 25.
Step-by-step explanation:
Consider the provided function.
[tex]f(x)=a^x[/tex]
Where a > 0
It is given that [tex]f(3) = 125[/tex].
If we substitute x=3 in the provided function we get,
[tex]a^3=125[/tex]
[tex]a^3=5^3[/tex]
Thus the value of a is 5.
The required function is [tex]f(x)=5^x[/tex].
Now solve the function for f(2).
[tex]f(2)=5^2[/tex]
[tex]f(2)=25[/tex]
Hence, the value of f(2) is 25.