Solve for a positive number x such that (2^{(x^3 – x^2 – 2x)} = 1)
-
A.
4 -
B.
3 -
C.
2 -
D.
1
Correct Answer: Option C
Explanation
(2^{(x^3 – x^2 – 2x)} = 1)
(x^3 – x^2 – 2x = 0)
(x(x^2 – x – 2) = 0)
(x^2 – x – 2 = 0)
((x + 1)(x – 2) = 0)
x = 2 is the positive answer.