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# Suppose that f(x) is O(g(x)) where f and g are increasing ISBN: 9780073383095 37

## Solution for problem 41E Chapter 3.2

Discrete Mathematics and Its Applications | 7th Edition

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Problem 41E

Suppose that f(x) is O(g(x)) where f and g are increasing and unbounded functions. Show that log |f(x)| is O(log|g (x)|).

Step-by-Step Solution:

Solution:Step 1:The objective of this question is to show that log |f(x)| is O(log|g (x)|).Step 2: Big-O Notation: To show that f(x) is O(g(x)) requires that we find one pair of constants C & k, there are infinitely many pairs, But if one such pair exists.The O (pronounced big-oh) is the normal method of representing an algorithm of the upper bound. It measures the time taken by the algorithm to execute it.there are infinitely many pairs, But if one such pair exists.Such that:.

Step 3 of 3

##### ISBN: 9780073383095

Since the solution to 41E from 3.2 chapter was answered, more than 240 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 41E from chapter: 3.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: log, show, functions, increasing, suppose. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “Suppose that f(x) is O(g(x)) where f and g are increasing and unbounded functions. Show that log |f(x)| is O(log|g (x)|).” is broken down into a number of easy to follow steps, and 21 words.

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Suppose that f(x) is O(g(x)) where f and g are increasing

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