Question

What is another way to write the function f(x) = 5^x. The choices are

f(x)=(625^x)1/125
f(x) = 1/125(625^x)
f(x) = (625^x)^1/4
f(x) = 1/4(6256x)

Answer 1

(625^x)^1/4.

Explanation:

625 = 5*5*5*5

so 625^1/4 = 5.

So it is (625^x)^1/4.

Answer 2

Correct answer is f(x) = (625^x)^1/4

Explanation:

We know that

625 = 5^4

This means

f(x) = (625^x)^1/4

f(x) = (5^(4x))^1/4

But we know this is equivalent to

f(x) = (5^(4x*(1/4))) =

= 5^(x)

Correct answer is f(x) = (625^x)^1/4