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Copyright Scott Storla 2015 An Introduction to Logarithms.

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Presentation on theme: "Copyright Scott Storla 2015 An Introduction to Logarithms."— Presentation transcript:

1 Copyright Scott Storla 2015 An Introduction to Logarithms

2 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.

3 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.

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

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

7 Your calculator has two buttons for logarithms Copyright Scott Storla 2015

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

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

10 Check using exponential form Copyright Scott Storla 2015

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

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

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14 Simplify Copyright Scott Storla 2015

15 Simplify Copyright Scott Storla 2015

16 Simplify Copyright Scott Storla 2015

17 Simplify Copyright Scott Storla 2015

18 Simplify Copyright Scott Storla 2015

19 An Introduction to Logarithms


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