Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781119278023
Author: Michael T. Goodrich; Roberto Tamassia; Michael H. Goldwasser
Publisher: Wiley Global Education US
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Chapter 4, Problem 41C

Explanation of Solution

Given:

It is given that logbf(n) is Θ(logf(n)).

Big-theta notation:

The function is referred as big-theta only if it is not much worse but also not better than f.

Θ(f(n))=Ο(f(n))Ω(f(n))

Proof:

It is given that the function is logbf(n). In this function, use the identity of log that translates logb to a logarithm of base 2

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