Respuesta :

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.

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