Number of Digits in b X An engineer has determined that
Chapter , Problem 4.3.91(choose chapter or problem)
Number of Digits in b X An engineer has determined that the number of digits N in the expansion of where both b and x are positive integers, is N = int(x log b) + 1 where int(x log b) denotes the greatest integer of (Note: See pages 175176 for information on the greatest integer function.) a. Because 210 = 1024 we know that 210 has four digits. Use the equation N = int(x log b) + 1 to verify this result. b. Find the number of digits in 3200 c. Find the number of digits in 74005. The largest known prime number as of August 23, 2008 was . Find the number of digits in this prime number. (Hint: Because is not a powerof 10, both and have the same number of digits.) 243,112,609 2 - 1
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