If log_{10} 2 = 0.3010, the number of digits in 2^{50} is:

Model Answer & Options

Source: Extra Practice

15

16

50

14

Explanation

To find the number of digits in N = 2^{50}, take the common log: log N = log(2^{50}) = 50 * log 2 = 50 * 0.3010 = 15.05. The characteristic is 15. The number of digits in a number is (characteristic + 1). Therefore, digits = 15 + 1 = 16. Option A is just the characteristic.

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