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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

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## Trashketball Review

Chapter 3

Exponents and Logarithms

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

### 6

Solve.

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

### 7

Solve.

log7 (x2 - 5) = log7 (59)

### 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

Solve for x.

log x = -2

10-2 = x

0.01 = x

Solve for x.

logx 4 = 12

x = 1.122

### 16

Write in exponential form.

### 17

Write in exponential form.

log11 1331 = 3

113 = 1331

Solve for x.

42x = 5x - 1

x = -1.38

### 19

Solve for x.

42x - 5 · 4x - 14 = 0

x = 1.404

Evaluate

-4

Evaluate

2

Evaluate

4

### 23

Expand

log3 (27x)2

2(log3 27 + log3 x)

= 2log327 + 2log3x

Expand

log x – log 9

### 25

Express as single logarithm

### 26

Express as single logarithm

### 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?

12.6 years

### 34

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

\$1735.98

### 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

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