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Question

If A=log2 (log2 (log4 256))+2log22, then A is equal to


A

5

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B

3

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C

2

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D

7

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Solution

The correct option is A

5


A=log2 (log2 (log4 256))+2log2122
256 = 44
log am = m log a
logbn a = 1nlogb a

A=log2 (log2 (log4 44))+2×1(12)log22
=log2 (log24)+4=log2 log2 22+4
=log22+4=1+4=5


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