   # Why do we define logarithmic functions, and how are they defined? ### Engineering Fundamentals: An Intro...

5th Edition
Saeed Moaveni
Publisher: Cengage Learning
ISBN: 9781305084766

#### Solutions

Chapter
Section ### Engineering Fundamentals: An Intro...

5th Edition
Saeed Moaveni
Publisher: Cengage Learning
ISBN: 9781305084766
Chapter 18.4, Problem 3BYG
Textbook Problem
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## Why do we define logarithmic functions, and how are they defined?

To determine

Define logarithmic functions.

### Explanation of Solution

The logarithmic functions are defined for the easy computations of the operations in mathematics.

The logarithmic function can be defined in two ways:

• Common logarithm.
• Natural logarithm.

Common logarithm:

The "log" symbol reads the logarithm to the base 10 is known as common logarithm.

Example:

10x=y (1)

Taking log on both sides,

x=logy

Natural logarithm:

The natural logarithm of a number is the logarithm base to the e

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