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Ch 3 rev trashketball exp logs

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  • 1. Trashketball ReviewChapter 3Exponents and Logarithms
  • 2. Trashketball Review of ch 41 6 11 16 21 26 312 7 12 17 22 27 323 8 13 18 23 28 334 9 14 19 24 29 345 10 15 20 25 30 35
  • 3. 1 Solve. 52x = 59x + 7 x = -1
  • 4. 2 Solve. 2 x 6 3x 4 4 4 x = -2, 5
  • 5. 3 Solve. 3x 2 1 16 64 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) 29 x 6
  • 9. 7 Solve. log7 (x2 - 5) = log7 (59) x 8
  • 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. 1 log13 3 2197 3 1 13 2197
  • 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 ยท 4x - 14 = 0 x = 1.404
  • 22. 20 Evaluate 1 log 7 2401 -4
  • 23. 21 Evaluate log15 225 2
  • 24. 22 Evaluate log 6 1296 4
  • 25. 23 Expand log3 (27x)2 2(log3 27 + log3 x) = 2log327 + 2log3x
  • 26. 24 Expand x log 9 log x โ€“ log 9
  • 27. 25 Express as single logarithm 1 log x 3 log y log z 3 3 xy log 3 z
  • 28. 26 Express as single logarithm 1 log 25 5 log a 2 5 log5a
  • 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 โ€“ log(x) X=2
  • 34. 32 Solve log(x+45) โ€“ 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