Option B: The value of x is -16
Explanation:
Given that the equation 
We need to determine the value of x.
Let us substitute f(x) = 0, then we have,

Now, we shall determine the value of x.
The term
can be written as 
Hence, we have,

Also, the term
can be written as 
Thus, we have,

Applying the exponent rule,
, we have,


If
then 

Simplifying, we get,





Therefore, the value of x is -16
Hence, Option B is the correct answer.