Question

What is the simplified base of the function `f(x) = 1/4root3 108^x`?

Answer 1

`f(x)=3^x`

Explanation:

`f(x)=1/4 root3(108^x)`

`:.f(x)=1/4*(108^x)^(1/3)`

`:.f(x)=1/4*108^(x/3)`

`:.f(x)=27^(x/3)`

`:.f(x)=(3^3)^(x/3)`

`:.f(x)=3^x`