Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Solve \((\frac{1}{2})^x = 8\).
Options
A -3
Correct Answer
B 3
C 2
D -2
Correct Answer

Option A is the correct answer.

Detailed Explanation

(1/2)^x = 2^{-x} = 8 = 2³ ⇒ -x = 3 ⇒ x = -3.

Hint

Rewrite both sides with the same base.

Question Info