Respuesta :
Answer:
The Option A. 3 is correct.
Step-by-step explanation:
The function is given to be :
[tex]f(x)=\frac{1}{4}(\sqrt[3]{108} )^x[/tex]
Now, we need to simplify the above function in order to obtain the base simplified form of the given function f(x)
[tex]\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[/tex]
Hence, the base simplified form of the given function f(x) is 3
Therefore, The Option A. 3 is correct.
