Copyright Scott Storla 2015 An Introduction to Logarithms.

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Presentation transcript:

Copyright Scott Storla 2015 An Introduction to Logarithms

We’ve been given the base and exponent and asked to find the power. Copyright Scott Storla 2015 So far we’ve worked with this relationship from two points of view. We’ve also been given the exponent and power and asked to find the base.

Find an exponent For this base That gives this power Today we take the third point of view. We’ll be given the base and power and asked to find the exponent. Copyright Scott Storla 2015 So a logarithm is an exponent.

Simplify Find an exponent For this base That gives this power Copyright Scott Storla 2015

In English state what the problem is asking. Then simplify. Finally rewrite in exponential form to check your work. Copyright Scott Storla 2015

Your calculator has two buttons for logarithms Copyright Scott Storla 2015

Find an estimated value for the following. Copyright Scott Storla 2015

Your calculator has two buttons for powers of 10 and e. Second function key Copyright Scott Storla 2015

Check using exponential form Copyright Scott Storla 2015

The Change of Base Formula is helpful when working with bases other than 10 and e. Copyright Scott Storla 2015

Use the change of base formula to simplify. Rewrite in exponential form to check your answer. Copyright Scott Storla 2015

Simplify Copyright Scott Storla 2015

Simplify Copyright Scott Storla 2015

Simplify Copyright Scott Storla 2015

Simplify Copyright Scott Storla 2015

Simplify Copyright Scott Storla 2015

An Introduction to Logarithms