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3.3 Vocabulary for Evaluating Logs with Different Bases

Continuous Growth (or decay) 

Growing (or decaying) without interruption. 

e

An irrational number, often defined as

                                        .

 and is used to model situations involving  continuous growth or decay.

Exponential function

A function whose output changes by a percentage amount for each unit change in the input.  The rate of change, therefore is NOT constant like it is with a linear function.  Exponential functions can either exhibit growth or decay.

Logarithm

The power you raise a positive base, a  to (  ) in order to get the desired number.

For example

Natural Exponential Function

An exponential function having the number e as the base.

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