Question

Find an equivalent function to f(x) = 5(2)3x.

f(x) = 125x(8)x

f(x) = 102x

f(x) = 40x

f(x) = 5(8)x

Answer 1

The answer is f(x) = 5(8)x or the letter D

Answer 2

`f(x)=5(8)^(x)`

Explanation:

The given expression is
`f(x)=5(2)^(3x)`

So, to know what expression is equivalent, we just have to rewrite the given functions:

`f(x)=5(2)^(3x)\\f(x)=5(2^(3))^(x)  \\f(x)=5(8)^(x)`

Therefore, the right answer is the last one:

`f(x)=5(8)^(x)`