Question

What is the simplified base of the function f(x) = 1/4 3/108*x?

A. 3
B. 3*3/4
C. 6*3/3
D. 27

Answer 1

The Answer is B. 3 x 3/4

Answer 2

The Option A. 3 is correct.

Explanation:

The function is given to be :

`f(x)=(1)/(4)(\sqrt[3]{108} )^x`

Now, we need to simplify the above function in order to obtain the base simplified form of the given function f(x)

`\implies f(x)=(1)/(4)\cdot (108)^{(x)/(3)}\\\\\implies f(x)=(27)^(x)/(3)\\\\\implies f(x)=(3^3)^(x)/(3)\\\\\implies f(x)=(3)^{3* (x)/(3)}\\\\\implies f(x)=3^x`

Hence, the base simplified form of the given function f(x) is 3

Therefore, The Option A. 3 is correct.