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.