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

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Presentation transcript:

5.5Logarithms

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

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

Logarithmic Function base number exponent

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

Logarithmic Function

Two special types of logarithms: Logarithmic Function

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

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

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

Exit Ticket

Homework- Day 2 pg #36-42 even, 47