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# Show that log2 3 is an irrational number. Recall that an

ISBN: 9780073383095 37

## Solution for problem 11E Chapter 4.3

Discrete Mathematics and Its Applications | 7th Edition

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Problem 11E

Show that log2 3 is an irrational number. Recall that an irrational number is a real number  x that cannot be written as the ratio of two integers.

Step-by-Step Solution:

In this question we have to prove that is an irrational number .

Step 1 </p>

To prove this question we will use the method of contradiction

Let is a rational number

So , =

=>

=>...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073383095

This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The full step-by-step solution to problem: 11E from chapter: 4.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM. Since the solution to 11E from 4.3 chapter was answered, more than 249 students have viewed the full step-by-step answer. This full solution covers the following key subjects: irrational, ratio, cannot, log, integers. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “Show that log2 3 is an irrational number. Recall that an irrational number is a real number x that cannot be written as the ratio of two integers.” is broken down into a number of easy to follow steps, and 28 words. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095.

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