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If log(2)(log(2)(log(2)x))=2, then the n...

If `log_(2)(log_(2)(log_(2)x))=2`, then the number of digits in x, is `(log_(10)2=0.3010)`

A

7

B

6

C

5

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
`log_(2)(log_(2)(log_(2)x))=2`
`rArr log_(2)(log_(2)x)=4`
`rArr log_(2)x=16`
`rArr x=2^(16)`
`therefore log_(10)x=16log_(10)2=16xx0.3010=4.8160`
`therefore` Number of digits = 5
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