If (৪)×(16)×(32)×(64) = 2^{(x + y)} What is the average of x and y?

A 8

B 9

C 12

D 16

Correct Answer: Option B

(৪)×(16)×(32)×(64) = 2^{(x + y)}
⇒ 2³ × 2⁴ × 2⁵ × 2⁶ = 2^{(x + y)}
⇒ 2¹⁸ = 2^{(x + y)}
⇒ 18 = x + y

∴ x এবং y এর গড় = (x + y)/2 = 18/2 = 9

If (৪)×(16)×(32)×(64) = 2(x + y) What is the average of x and y?