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

F(X) = 2(5)^2x two times five equals 10. 10 to the power of two equals 100 because it's ten times ten. So F(X) = 100^x because that means it's just 100. Also F(x) = 4(25)^x because four times 25 equals 100.

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carlosego carlosego · Answer 2 · 2018-07-19T18:24:40+02:00

carlosego carlosego

19-07-2018

For this case we have the following function:

[tex] f (x) = 2 (5) ^ {2x}
[/tex]

By power properties we can rewrite the function as follows:

[tex] f (x) = 2 ((5) ^ 2) ^ x
[/tex]

We have then:

[tex] (5) ^ 2 = 25
[/tex]

Then rewriting the function we have:

[tex] f (x) = 2 (25) ^ x
[/tex]

Answer:

an equivalent function to [tex] f (x) = 2 (5) ^ {2x} [/tex] is:

[tex] f (x) = 2 (25) ^ x [/tex]

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