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# Trashketball Review - PowerPoint PPT Presentation

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

Chapter 3

Exponents and Logarithms

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

Solve.

52x = 59x + 7

x = -1

Solve.

x = -2, 5

Solve.

x = 1 6

Solve.

27x = 800

x = 1.378

Solve.

logx 512 = 3

x = 8

Solve.

log8 (3x - 6) = log8 (9x + 23)

Solve.

log7 (x2 - 5) = log7 (59)

Solve.

log9(x + 3) = log92x

x = 3

Solve. Round to 4 decimal places.

3x = 72

x = 3.8928

Solve. Round to 4 decimal places.

7x = 23.4

x = 1.6202

Solve. Round to 4 decimal places.

53x = 37

x = 0.7479

Write in logarithmic form.

82 = 64

log8 64 = 2

Write in logarithmic form.

93 = 729

log9 729 = 3

Solve for x.

log x = -2

10-2 = x

0.01 = x

Solve for x.

logx 4 = 12

x = 1.122

Write in exponential form.

Write in exponential form.

log11 1331 = 3

113 = 1331

Solve for x.

42x = 5x - 1

x = -1.38

Solve for x.

42x - 5 · 4x - 14 = 0

x = 1.404

Evaluate

-4

Evaluate

2

Evaluate

4

Expand

log3 (27x)2

2(log3 27 + log3 x)

= 2log327 + 2log3x

Expand

log x – log 9

Express as single logarithm

Express as single logarithm

Evaluate. Round to 4 decimal places.

log11 52

1.6478

Evaluate. Round to 4 decimal places.

log5 8.7

1.3441

Evaluate. Round to 4 decimal places.

log6 21.7

1.7175

Evaluate. Round to 4 decimal places.

log13 28.3

1.3033

Solve

log(x+3) = 1 – log(x)

X = 2

Solve

log(x+45) – log(x+5) = log x

X = 5

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

12.6 years

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

\$1735.98

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