Thursday, January 13, 2011

Properties of Logs

Properties of Logarithms


The change of base formula: used so that you can change the base of a common log. By using it you are evaluating the logs to other bases. this basic formula can be used for base 10 and for natural log.


Here are two examples:
The first one is natural log
The second one is base 10











All of the log properties can be derived, but here they are:








*These properties can also be used for natural logs as well*




Now you can use the properties above to to either expand or condense functions. Here are some examples

Expanding:
Condensing:











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