3. 5.5Logarithms

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

5. 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

6. Logarithmic Function base number exponent

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

8. Logarithmic Function

9. Two special types of logarithms: Logarithmic Function

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

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

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

13. Exit Ticket

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