Question

If f(x)= a* and f(3) = 125, find f(2). Assume a > 0. f(2)=0

Answer 1

The value of f(2) is 25.

Explanation:

Consider the provided function.

`f(x)=a^x`

Where a > 0

It is given that
`f(3) = 125`.

If we substitute x=3 in the provided function we get,

`a^3=125`

`a^3=5^3`

Thus the value of a is 5.

The required function is
`f(x)=5^x`.

Now solve the function for f(2).

`f(2)=5^2`

`f(2)=25`

Hence, the value of f(2) is 25.