Question

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

Answer 1

Answer:

The Option A. 3 is correct.

Step-by-step explanation:

The function is given to be :

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

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

$\implies f(x)=\frac{1}{4}\cdot (108)^{\frac{x}{3}}\\\\\implies f(x)=(27)^\frac{x}{3}\\\\\implies f(x)=(3^3)^\frac{x}{3}\\\\\implies f(x)=(3)^{3\times \frac{x}{3}}\\\\\implies f(x)=3^x$

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

Therefore, The Option A. 3 is correct.

Answer 2

The Answer is B. 3 x 3/4