Trashketball ReviewChapter 3Exponents and Logarithms
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...
1    Solve.      52x = 59x + 7             x = -1
2    Solve.             2         x        6          3x 4     4                   4                 x = -2, 5
3    Solve.             3x 2    1       16                    64             x=1               6
4    Solve.       27x = 800         x = 1.378
5    Solve.      logx 512 = 3             x=8
6        Solve.    log8 (3x - 6) = log8 (9x + 23)                    29             x                    6
7     Solve.    log7   (x2   - 5) = log7 (59)             x        8
8    Solve.    log9(x + 3) = log92x             x=3
9    Solve. Round to 4 decimal places.            3x = 72           x = 3.8928
10     Solve. Round to 4 decimal places   .         7x = 23.4           x = 1.6202
11     Solve. Round to 4 decimal places.           53x = 37            x = 0.7479
12     Write in logarithmic form.           82 = 64          log8 64 = 2
13     Write in logarithmic form.           93 = 729          log9 729 = 3
14     Solve for x.         log x = -2            10-2 = x            0.01 = x
15     Solve for x.         logx 4 = 12           x = 1.122
16     Write in exponential form.                1        log13         3              2197             3     1        13 ...
17     Write in exponential form.         log11 1331 = 3          113 = 1331
18     Solve for x.        42x   =   5x-1           x = -1.38
19     Solve for x.       42x - 5 · 4x - 14 = 0           x = 1.404
20     Evaluate                 1          log 7                2401                -4
21     Evaluate           log15 225                2
22     Evaluate          log 6 1296                4
23     Expand          log3   (27x)2     2(log3 27 + log3 x)     = 2log327 + 2log3x
24     Expand                  x              log                  9         log x – log 9
25     Express as single logarithm                    1      log x 3 log y   log z                    3                   ...
26     Express as single logarithm         1           log 25 5 log a         2                    5            log5a
27     Evaluate. Round to 4 decimal places.              log11 52                1.6478
28     Evaluate. Round to 4 decimal places.              log5 8.7                1.3441
29     Evaluate. Round to 4 decimal places.             log6 21.7                1.7175
30     Evaluate. Round to 4 decimal places.             log13 28.3                1.3033
31     Solve      log(x+3) = 1 – log(x)             X=2
32      Solve     log(x+45) – log(x+5) = log x              X=5
33     If you invest some money at a     5.5% rate compounded     continuously, how long will it     take to double?      ...
34     You invest $1500 at a 4.9% interest     rate compounded quarterly. How     much will you have in 3 years?          ...
35       A certain city has a population of 4000     people in 1990 and 4500 people in 2000.     Find an exponential funct...
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Ch 3 rev trashketball exp logs

  1. 1. Trashketball ReviewChapter 3Exponents and Logarithms
  2. 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. 3. 1 Solve. 52x = 59x + 7 x = -1
  4. 4. 2 Solve. 2 x 6 3x 4 4 4 x = -2, 5
  5. 5. 3 Solve. 3x 2 1 16 64 x=1 6
  6. 6. 4 Solve. 27x = 800 x = 1.378
  7. 7. 5 Solve. logx 512 = 3 x=8
  8. 8. 6 Solve. log8 (3x - 6) = log8 (9x + 23) 29 x 6
  9. 9. 7 Solve. log7 (x2 - 5) = log7 (59) x 8
  10. 10. 8 Solve. log9(x + 3) = log92x x=3
  11. 11. 9 Solve. Round to 4 decimal places. 3x = 72 x = 3.8928
  12. 12. 10 Solve. Round to 4 decimal places . 7x = 23.4 x = 1.6202
  13. 13. 11 Solve. Round to 4 decimal places. 53x = 37 x = 0.7479
  14. 14. 12 Write in logarithmic form. 82 = 64 log8 64 = 2
  15. 15. 13 Write in logarithmic form. 93 = 729 log9 729 = 3
  16. 16. 14 Solve for x. log x = -2 10-2 = x 0.01 = x
  17. 17. 15 Solve for x. logx 4 = 12 x = 1.122
  18. 18. 16 Write in exponential form. 1 log13 3 2197 3 1 13 2197
  19. 19. 17 Write in exponential form. log11 1331 = 3 113 = 1331
  20. 20. 18 Solve for x. 42x = 5x-1 x = -1.38
  21. 21. 19 Solve for x. 42x - 5 · 4x - 14 = 0 x = 1.404
  22. 22. 20 Evaluate 1 log 7 2401 -4
  23. 23. 21 Evaluate log15 225 2
  24. 24. 22 Evaluate log 6 1296 4
  25. 25. 23 Expand log3 (27x)2 2(log3 27 + log3 x) = 2log327 + 2log3x
  26. 26. 24 Expand x log 9 log x – log 9
  27. 27. 25 Express as single logarithm 1 log x 3 log y log z 3 3 xy log 3 z
  28. 28. 26 Express as single logarithm 1 log 25 5 log a 2 5 log5a
  29. 29. 27 Evaluate. Round to 4 decimal places. log11 52 1.6478
  30. 30. 28 Evaluate. Round to 4 decimal places. log5 8.7 1.3441
  31. 31. 29 Evaluate. Round to 4 decimal places. log6 21.7 1.7175
  32. 32. 30 Evaluate. Round to 4 decimal places. log13 28.3 1.3033
  33. 33. 31 Solve log(x+3) = 1 – log(x) X=2
  34. 34. 32 Solve log(x+45) – log(x+5) = log x X=5
  35. 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. 36. 34 You invest $1500 at a 4.9% interest rate compounded quarterly. How much will you have in 3 years? $1735.98
  37. 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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