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If log10 2 = 0.3010, find the number of digits in 2^64.

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If log10 2 = 0.3010, find the number of digits  in 264.

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log102 = 0.3010

\(\therefore\) log10 264 = 64(log10 2) = 64(0.3010) = 19.264

Characteristic = 19

\(\therefore\) No. of digits in 264 is (19 + 1) = 20.

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