1. Trashketball Review Chapter 3 Exponents and Logarithms

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

3. 1 Solve. 5 2x = 5 9x + 7 x = -1

4. 2 Solve. x = -2, 5

5. 3 Solve. x = 1 6

6. 4 Solve. 2 7x = 800 x = 1.378

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

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

9. 7 Solve. log 7 (x 2 - 5) = log 7 (59)

10. 8 Solve. log 9 (x + 3) = log 9 2x x = 3

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

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

13. 11 Solve. Round to 4 decimal places. 5 3x = 37 x = 0.7479

14. 12 Write in logarithmic form. 8 2 = 64 log 8 64 = 2

15. 13 Write in logarithmic form. 9 3 = 729 log 9 729 = 3

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

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

18. 16 Write in exponential form.

19. 17 Write in exponential form. log 11 1331 = 3 11 3 = 1331

20. 18 Solve for x. x = -1.38 4 2x = 5 x - 1

21. 19 Solve for x. 4 2x - 5 · 4 x - 14 = 0 x = 1.404

22. 20 Evaluate -4

23. 21 Evaluate 2

24. 22 Evaluate 4

25. 23 Expand 2(log 3 27 + log 3 x) = 2log 3 27 + 2log 3 x log 3 (27x) 2

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. log 11 52 1.6478

30. 28 log 5 8.7 1.3441 Evaluate. Round to 4 decimal places.

31. 29 log 6 21.7 1.7175 Evaluate. Round to 4 decimal places.

32. 30 log 13 28.3 1.3033 Evaluate. Round to 4 decimal places.

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

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

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

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

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