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Question

The value of a=log2log2log4256+2log22 then a is


A

1

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B

2

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C

3

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D

4

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E

5

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Solution

The correct option is E

5


Explanation for the correct option:

Find the value of a:

An equation a=log2log2log4256+2log22 is given.

Since we know that loga(a)=1 and loga(c)b=b·loga(c).

Now, simplify the given equation as follows:

a=log2log2log444+2log222a=log2log24log44+4log22a=log2log222+4a=log22log22+4a=log22+4a=1+4a=5

Therefore, the value of a is 5.

Hence, option (E) is the correct answer.


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