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Q.

If log2⁡x−0.5=log2⁡x then x equals

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a

odd integer

b

composite number

c

irrational

d

prime number

answer is B.

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Detailed Solution

log2⁡x−0.5=log2⁡x or  log2⁡x−0.5=0.5log2⁡x⇒ y−0.5=0.5y2⇒ y2−2y+1=0⇒ y=1⇒ log2⁡x=1⇒ x=2

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