If log 2 = 0.30103, the number of digits in 264 is:_____Choices:- 18 19 20 21
Question
If log 2 = 0.30103, the number of digits in 264 is:_____Choices:- 18 19 20 21
Solution
The number of digits in a number can be found using the formula log10(n) + 1, rounded down to the nearest whole number.
Given that log 2 = 0.30103, we can use this to find the number of digits in 2^64.
First, we find the log of 2^64. Using the property of logarithms that log(a^b) = b * log(a), we find that log(2^64) = 64 * log(2) = 64 * 0.30103 = 19.26592.
Then, we add 1 to this result and round down to the nearest whole number: floor(19.26592 + 1) = floor(20.26592) = 20.
So, the number of digits in 2^64 is 20.
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