Answer :

It should be [tex] 2^{64} [/tex]

Let x = [tex] 2^{64} [/tex]

Log x = [tex] log 2^{64} [/tex] 

Logx = 64(log2)

logx = 64(0.30103)

logx = 19.26592

The characteristic of x is 19
Therefore, there are 20 (19+1) digits in  [tex] 2^{64} [/tex]

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