Suppose a positive real number x satisfies the inequality 10m x < 10m+1 where m is an

Chapter 11, Problem 13

(choose chapter or problem)

Suppose a positive real number x satisfies the inequality \(10^{m} \leq x<10^{m+1}\) where m is an integer. What can be inferred about \(\left\lfloor\log _{10} x\right\rfloor\)? Justify your answer.

Text Transcription:

10^m leq x<10^m+1

lfloor log _10 x rfloor

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