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Logarithmic Functions

Topic Review on "Title":

Logarithmic function:

The inverse function of the exponential function is called the logarithmic function and is denoted as:  where is the base of the logarithm and

Properties of logarithmic functions:

1) If and then .
2) If then .
3) If then .
4) If then .

5) If and  then .

Rapid Study Kit for "Title":
Flash Movie Flash Game Flash Card
Core Concept Tutorial Problem Solving Drill Review Cheat Sheet

"Title" Tutorial Summary :

Logarithms and how they relate to exponentials are described in this tutorial.  The graphs of logarithms follow the same rules as the ones of exponentials except they are not defined at zero. The concept of inverse functions is utilized to confirm that logarithms have inverses.

Examples of logarithms and their graphs are shown in the example problems. Logarithms are not defined at 0 compared to exponentials. Logarithms are solved using their properties involving them and are presented in the examples.

Tutorial Features:

Specific Tutorial Features:
• Examples to illustrate the properties and applications of logarithms.
• Animated diagrams to actually show the relationship between an exponential and a logarithm with the use of the inverse function principle.
• Problem-solving techniques are used to work out and illustrate the example problems, step by step.

Series Features:
• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
• Definition slides introduce terms as they are needed.
• Visual representation of concepts
• Animated examples—worked out step by step
• A concise summary is given at the conclusion of the tutorial.

"Title" Topic List:
Logarithms functions and their properties
Definition of logarithms
Properties of logarithms
Logarithmic equations
Common and Natural Logarithms
Euler Number
Logarithms with different bases
Application of logarithms

See all 24 lessons in Intermediate Algebra, including concept tutorials, problem drills and cheat sheets:
Teach Yourself Intermediate Algebra Visually in 24 Hours

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