   Chapter 11.4, Problem 26ES ### 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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# Exercises 25 and 26 refer to properties 11.4.9 and 11.4.10. To solve them, think big!26. Find a real number x > 1 such that x 50 < 2 x .

To determine

Find a real number x > 1 such that x50<2x.

Explanation

Given information:

x50<2x.

Calculation:

We need to find a real number x > 1 such that x50<2x.

We will try to find such a real number by calculating x50 and 2x for some increasingly large values of x.

Since we have been given log2x and x1/10, we will obtain integer results if x is a power of 2 and if the power is also a multiple of 10 (which will make the calculations easier).

x                    x50                                     2x                                 _

10                 1050=1×1050

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