Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Solve 2^(2x) - 3·2^x + 2 = 0
Options
A x=0, x=1
Correct Answer
B x=1, x=2
C x=0, x=2
D x=0 only
Correct Answer

Option A is the correct answer.

Detailed Explanation

Let y = 2^x. Then equation becomes y² - 3y + 2 = 0 → (y-1)(y-2)=0 → y=1 or y=2. So 2^x = 1 → x=0, or 2^x = 2 → x=1.

Hint

Substitute y = 2^x to get a quadratic equation.

Question Info