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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


1

Solve.

52x = 59x + 7

x = -1


2

Solve.

x = -2, 5


3

Solve.

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)


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


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.


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

-4


21

Evaluate

2


22

Evaluate

4


23

Expand

log3 (27x)2

2(log3 27 + log3 x)

= 2log327 + 2log3x


24

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

13018 people


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