   Chapter 11.4, Problem 13ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Suppose a positive real number x satisfies the inequality 10 m ≤ x < 10 m + 1 where m is an integer. What can be inferred about ⌊ log 10 x ⌋ ? Justify your answer.

To determine

Explanation

Given information:

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

Calculation:

Suppose m is an integer and x is a real number with 10mx10m+1

As the logarithmic function with base 10 is increasing,

log1010mlog10xlog1010m+1

But log10

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