Lecture 4.4 bt

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Lecture 4.4 bt

  1. 1. Today’s Agenda  Attendance  Section / Announcements 4.4  Quiz on Tuesday  Exam 3 (Chapter 4)  Fri 11/1
  2. 2. Solving Exponential Equations 2 x 3x 6 2 4 2x 9 64 8 x 32 2x 5
  3. 3. Solving Logarithmic Equations log 5 x 1 log x 7 0
  4. 4. But these “one-to-one” equivalent properties won’t always work…. 4 x 25 We will need to apply the “inverse” properties of logs and exponentials
  5. 5. Method #1 4 x 25
  6. 6. Method #2 4 x 25
  7. 7. Solving Exponential Equations
  8. 8. Solving Exponential Equations 3(2) x 42 4e 2x 3 2
  9. 9. Solving Exponential Equations 3x 1 x 2 x 2 8 431 4 3
  10. 10. Solving Logarithmic Equations We can think of the inverse of logs as “exponentiating” both sides
  11. 11. Solving Logarithmic Equations log x 2 log 2 4 x 3
  12. 12. Solving Logarithmic Equations 2 log 5 3x 4 ln 3x 2.1
  13. 13. Solving Logarithmic Equations ln 2 x 1 1 ln x 2
  14. 14. Solving Logarithmic Equations log x 6 log x 6 2
  15. 15. Classwork / Homework • Page 250 • 1 – 39 odd • 45 – 53 odd

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