4x + 1 = 2x - 2 হলে x = কত?

4^{x + 1} = 2^{x - 2} হলে x = কত?

A 4

B -4

C 2

D 8

Correct Answer: Option B

4^{x + 1}= 2^{x - 2}
⇒ 2^{2(x + 1)} = 2^{x - 2}
⇒ 2^{2x + 2} = 2^{x - 2}
⇒ 2x + 2 = x - 2
⇒ 2x - x = - 2 - 2
∴ x = - 4