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CAT-2004-Previous Years Paper

Question
24 out of 35
 

Let u = (log2x)2– 6 log2x + 12 where x is a real number. Then the equation xu= 256, has



A No solution for x

B Exactly one solution for x

C Exactly two distinct solutions for x

D Exactly three distinct solutions for x

Ans. B

u = (log2x)2 6log2x + 12

xu= 256

Let log2x = y x = 2y

xu = 28 uy = 8 u =

t2 6y + 12 y3 6 y2 = 0

(y 2)3= 0 y = 2

x = 4, u = 4

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