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Warm-Up: February 5, 2013

Warm-Up: February 5, 2013. Simplify x 3 x 5 Simplify (x 4 ) 2 Simplify log 7 49 The number of bacteria double every hour. If the final size is1600 after 3 hours, what was the initial amount?. Homework Questions?. Section 6.4. Properties of Logarithms. Essential Question.

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Warm-Up: February 5, 2013

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  1. Warm-Up: February 5, 2013 • Simplify x3x5 • Simplify (x4)2 • Simplify log749 • The number of bacteria double every hour. If the final size is1600 after 3 hours, what was the initial amount?

  2. Homework Questions?

  3. Section 6.4 Properties of Logarithms

  4. Essential Question • How can we solve logarithmic equations?

  5. Remember Exponents? • Product Property • Quotient Property • Power Property

  6. Product Property of Logarithms • For m>0, n>0, b>0, b≠1

  7. Quotient Property of Logarithms • For m>0, n>0, b>0, b≠1

  8. Example 1 • Given log23=1.5850, approximate the value for each expression. No calculator! • log218 • log2(3/4)

  9. You-Try #1 • Given log25=2.3219, approximate the value for each expression. No calculator! • log210 • log2(5/2)

  10. Example 2 • Write each expression below as a single logarithm. Simplify if possible. • log812 – log84 • logzac – logzb + logzbc

  11. You-Try #2 • Write each expression below as a single logarithm. Simplify if possible. • log418 – log46 • logb4x – logb3y + logby

  12. Power Property of Logarithms • For m>0, b>0, b≠1, and any real number p

  13. Example 3 • Evaluate log3278

  14. You-Try #3 • Evaluate log327100

  15. Warm-Up: February 6, 2013 • Given log57≈1.209, evaluate the following: a) log535 b) log574 c) log514 – log52

  16. Homework Questions?

  17. Exponential-Logarithmic Inverse Properties • For b>0 and b≠1

  18. Example 4: Evaluate

  19. You-Try #4: Evaluate

  20. One-To-One Property of Logarithms

  21. Example 5: Solve for x

  22. You-Try #5: Solve for x

  23. Assignment • Page 382 #13-61 Every Other Odd (EOO) • 6.1-6.4 Quiz Friday!

  24. February 7, 2013 • Pick up a worksheet. • Begin working on it in your assigned seat.

  25. Homework Questions?

  26. Friday’s Quiz: 6.1-6.4 • 13 questions • All multiple choice • No calculator • You will be allowed (and need) a calculator on the Chapter 6 Test

  27. 6.4 Worksheet • You have the rest of class to work on the worksheet. • You may move and work with other students.

  28. Warm-Up: February 8, 2013 • Combine into a single logarithm: • 3log2x+2log2y-5log2z

  29. Homework Questions?

  30. Questions before Quiz?

  31. Quiz Time! • Clear everything off of your desk except pencil and eraser. • Circle the best answer choice for each question. • The correct answer for #11 is not listed. Answer #11 as a free-response question. • When finished, turn in your quiz and silently work on the worksheet from yesterday. • Any talking while any quiz is out will result in a zero.

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