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5.5Logarithms. Objectives: I will be able to…  Rewrite equations between exponential and logarithmic forms  Evaluate logarithms  Solve logarithms Vocabulary:

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Presentation on theme: "5.5Logarithms. Objectives: I will be able to…  Rewrite equations between exponential and logarithmic forms  Evaluate logarithms  Solve logarithms Vocabulary:"— Presentation transcript:

1 5.5Logarithms

2 Objectives: I will be able to…  Rewrite equations between exponential and logarithmic forms  Evaluate logarithms  Solve logarithms Vocabulary: logarithms, natural logarithms

3 Why learn about logarithms? 5.1-5.4 were all about exponents A logarithm is the inverse of an exponent We can use logarithms to solve for a missing exponential value

4 Two special types of logarithms: Logarithmic Function

5 base number exponent

6 RewriteExponents ⟶ Logs b = 6 x = 216 b = 10 x =.01 b= e x =.0498

7 Logarithmic Function

8 If not an equation, let log equal y as in general form. =y No base means base 10. =y 10 e

9 Logarithmic Function Change form of logarithm. Change form of 729. Use exponent rules. Not matching exponents, must get rid of exponent with x.

10 p. 194-195 #11, 12, 14, 17, 36-42 even Homework

11 Exit Ticket


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