DISCUSS DISCOV ER: The Number of Digits in an IntegerCompare log 1000 to the number of

Chapter 4, Problem 105

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DISCUSS DISCOV ER: The Number of Digits in an IntegerCompare log 1000 to the number of digits in 1000. Do thesame for 10,000. How many digits does any numberbetween 1000 and 10,000 have? Between what two valuesmust the common logarithm of such a number lie? Use yourobservations to explain why the number of digits in anypositive integer x is log x 1. (The symbol n is thegreatest integer function defined in Section 2.2.) How manydigits does the number 2100 have?

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