An Overview On Logarithmic Functions

Hi there. This math post is on logarithmic functions. This topic is typically taught in pre-calculus/calculus courses.

Math text is done in LateX with TeXWorks with the Windows Snipping tool for the image screenshots.

This post is an update and variation of the one found in my website.

Featured Image Source

Sections

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• Exponential Functions: A Brief Review
• Euler's Number: e
• The Natural Exponential Function
• Logarithmic Functions
• The Natural Logarithm
• Domain & Range Of Logarithms
• Properties of Logarithms
• The Change Of Base Formula
• A Few Examples

Exponential Functions: A Brief Review

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The exponent x can be viewed as a counter of how many times a number factor appears.

Exponential Growth: Image Source

Exponential Decay: Image Source

Euler's Number: e

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The Natural Exponential Function

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Logarithmic Functions

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Memory Aids

Exponential and Logarithmic Functions As Inverses Of Each Other: Image Source

The Natural Logarithm

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Domain & Range Of Logarithms

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Properties of Logarithms

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The Change Of Base Formula

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A Few Examples

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Reference websites include the PurpleMath website, www.mathisfun.com , the Functions 11 Textbook from the publisher McGraw Hill-Ryerson.