Question

Which of the following options is an equivalent function to f(x) = 2(5)2x? (2 points)

Select one:
a. f(x) = 50x
b. f(x) = 100x
c. f(x) = 2(25)x
d. f(x) = 4(25)x

Answer 1

The correct option would be C-f(x) = 2(25)^x

Explanation:

The reason for this is because we would have 5^2x become 25^x. Then we would add the two in parentheses. So our final equivalent equation would be: f(x)=2(25)^x.

The reason it is not times four is because there is no extra two. The reason it isn't 50x is because you can't multiply two unlike terms aka 2 time 25^x.

Answer 2

I believe the correct answer from the choices listed above is option C. IT would be f(x) = 2(25)x that is an equivalent function to f(x) = 2(5)^2x. You can square directly 5 since it will still follow the rules for exponents. Hope this answers the question. Have a nice day.