Question

What is the simplified base of the function f(x) = /108)*?

Ο
Ο 3
Ο 3/4
Ο 6/3
Ο 27

Answer 1

The simplified base of the function f(x) is 3. Option A is answer.

Step-by-step explanation:

Factor 108, which has prime factors of
`2^2` and
`3^3`.

Rewrite the function as
`(1/4) * (3^3)^((x/3))` based on the root's properties.

Simplify the exponent:
`(1/4) * 3^x = 3^x.`

Therefore, the simplified base of f(x) is 3.

The simplified base of the function f(x) is 3. We can factor 108 into
`2^2 * 3^3`. Using the root’s properties, we can rewrite the function as (
`(1/4) * (3^3)(x/3)`. Simplifying the exponent, we get
`(1/4) * 3^x = 3^x.`Therefore, the simplified base of f(x) is 3 .

Option A is answer.

""

Complete Question

What is the simplified base of the function f(x) = /108)*?

A: 3

B: 3/4

C: 6/3

D: 27

""

Answer 2

Answer: need more in4

Step-by-step explanation: