Question

Which of the following options is an equivalent function to f(x) = 2(5)^2x? choices: f(x) = 50^x f(x) = 100^x f(x) = 2(25)^x f(x) = 4(25)^x

Answer 1

For this case we have the following function:

`image`

By power properties we can rewrite the function as follows:

`image`

We have then:

`image`

Then rewriting the function we have:

`image`

Answer:

an equivalent function to
`f (x) = 2 (5) ^ {2x}` is:

`f (x) = 2 (25) ^ x`