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Trashketball Review

Trashketball Review. Chapter 3 Exponents and Logarithms. Trashketball Review of ch 4. 1. 26. 6. 21. 11. 16. 31. 27. 22. 2. 32. 17. 12. 7. 28. 23. 13. 18. 8. 33. 3. 29. 24. 19. 14. 34. 9. 4. 30. 25. 15. 20. 35. 5. 10. 1. Solve. 5 2x = 5 9x + 7.

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Trashketball Review

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  1. Trashketball Review Chapter 3 Exponents and Logarithms

  2. TrashketballReview of ch 4 1 26 6 21 11 16 31 27 22 2 32 17 12 7 28 23 13 18 8 33 3 29 24 19 14 34 9 4 30 25 15 20 35 5 10

  3. 1 Solve. 52x = 59x + 7 x = -1

  4. 2 Solve. x = -2, 5

  5. 3 Solve. x = 1 6

  6. 4 Solve. 27x = 800 x = 1.378

  7. 5 Solve. logx 512 = 3 x = 8

  8. 6 Solve. log8 (3x - 6) = log8 (9x + 23)

  9. 7 Solve. log7 (x2 - 5) = log7 (59)

  10. 8 Solve. log9(x + 3) = log92x x = 3

  11. 9 Solve. Round to 4 decimal places. 3x = 72 x = 3.8928

  12. 10 Solve. Round to 4 decimal places. 7x = 23.4 x = 1.6202

  13. 11 Solve. Round to 4 decimal places. 53x = 37 x = 0.7479

  14. 12 Write in logarithmic form. 82 = 64 log8 64 = 2

  15. 13 Write in logarithmic form. 93 = 729 log9 729 = 3

  16. 14 Solve for x. log x = -2 10-2 = x 0.01 = x

  17. 15 Solve for x. logx 4 = 12 x = 1.122

  18. 16 Write in exponential form.

  19. 17 Write in exponential form. log11 1331 = 3 113 = 1331

  20. 18 Solve for x. 42x = 5x - 1 x = -1.38

  21. 19 Solve for x. 42x - 5 · 4x - 14 = 0 x = 1.404

  22. 20 Evaluate -4

  23. 21 Evaluate 2

  24. 22 Evaluate 4

  25. 23 Expand log3 (27x)2 2(log3 27 + log3 x) = 2log327 + 2log3x

  26. 24 Expand log x – log 9

  27. 25 Express as single logarithm

  28. 26 Express as single logarithm

  29. 27 Evaluate. Round to 4 decimal places. log11 52 1.6478

  30. 28 Evaluate. Round to 4 decimal places. log5 8.7 1.3441

  31. 29 Evaluate. Round to 4 decimal places. log6 21.7 1.7175

  32. 30 Evaluate. Round to 4 decimal places. log13 28.3 1.3033

  33. 31 Solve log(x+3) = 1 – log(x) X = 2

  34. 32 Solve log(x+45) – log(x+5) = log x X = 5

  35. 33 If you invest some money at a 5.5% rate compounded continuously, how long will it take to double? 12.6 years

  36. 34 You invest $1500 at a 4.9% interest rate compounded quarterly. How much will you have in 3 years? $1735.98

  37. 35 A certain city has a population of 4000 people in 1990 and 4500 people in 2000. Find an exponential function to model this population. Then predict the population in 2015. y = 4000e.0118t 13018 people

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