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5.5Logarithms

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

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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

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Logarithmic Function base number exponent

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RewriteExponents ⟶ Logs b = 6a=3 x = 216 b = 10 a=-2 x =.01 b= e a=-3 x =.0498

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Logarithmic Function

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Two special types of logarithms: Logarithmic Function

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

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

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pg. 194 #1-7 odd, 12, 14, 17 Homework

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Exit Ticket

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Homework- Day 2 pg. 196-197 #36-42 even, 47

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