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
 can be written as 
Hence, we have,

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

Applying the exponent rule,  , we have,
, we have,
    

If  then
 then 

Simplifying, we get,

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