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# Ch 3 rev trashketball exp logs

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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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