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If log 2 = 0.30103, the number of digits in 264 is:

A. 18

B. 19

C. 20

D. 21

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & \log \left( {{2^{64}}} \right) \cr & = 64 \times \log 2 \cr & = \left( {64 \times 0.30103} \right) \cr & = 19.26592 \cr} $$
Its characteristic is 19.
Hence, then number of digits in 264 is 20.

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