×
Log in to StudySoup
Get Full Access to Math - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Math - Textbook Survival Guide

Show that for all real numbers a and b with a > 1 and b>

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 40E Chapter 3.2

Discrete Mathematics and Its Applications | 7th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

4 5 1 306 Reviews
22
0
Problem 40E

Show that for all real numbers a and b with a > 1 and b> 1, if f(x) is O(logbx), then f(x) is O(logax).

Step-by-Step Solution:

Step 1: 

In this problem, we have to show that if f(x) is O(logbx), then f(x) is O(logax)  for all real numbers a and b with a > 1 and b> 1.

Step 2: 

As we know about Big-O notation: if f and g are real-valued functions such that f(x) is O(g(x)).We can say that f(x) is O(g(x)) if there are constant C and k such that |f(x)||g(x)| whenever x>k

Now, we can write  logbx =Similarly for logax =

Step 3 of 3

Chapter 3.2, Problem 40E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Show that for all real numbers a and b with a > 1 and b>

×
Log in to StudySoup
Get Full Access to Math - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Math - Textbook Survival Guide
×
Reset your password