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

A. 18

B. 19

C. 20

D. 21

Solution:

\begin{aligned} \log (2^{64}) \\ = 64 \times \log 2 \\ = (64 \times 0.30103) \\ = 19.26592 \end{aligned}

Its characteristic is 19.
Hence, then number of digits in 2⁶⁴ is 20.

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