CHAPTER 3 REVIEW

1. WHICH OF THE FOLLOWING COULD BE THE EQUATION FOR THE GRAPH ?

a) y = 3x

b) y = -3x

c) y = (1/2)x

d) y = -(1/2)x

2. WHICH OF THE FOLLOWING COULD BE THE EQUATION FOR THE GRAPH ?

a) y = lnx + 1b) y = lnx – 1c) y = ln(x + 1)d) y = ln(x – 1)

3. SIMPLIFY (4√2)√2

a) 64b) 16c) 42√2

d) 4

4. SIMPLIFY (3X – 1)(3 2 - X)

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a) 33x

b) 27c) 9d) 3

5. SOLVE 3X = 1/9

x =1/3

x = -2

x =½

x =-3

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10

a) x =1/3b) x = -2c) x =½d) x =-3

6. SOLVE 22X = √2

25% 25%25%25%a) x = ½b) x = 1c) x = ¼d) no solution

7. SOLVE 8X = 4

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a) 2b) ½c) 3/2d) 2/3

8. REWRITE IN EXPONENTIAL FORM Y = LOG X

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a) 10y = xb) 10x= yc) xy = 10d) yx = 10

9. REWRITE IN LOG FORMep = q

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a) log q = pb) log p = qc) ln q = pd) ln p = q

10. ESTIMATE LOG 5 50

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a) 10b) between 1 and

2c) between 2 and

3d) between 3 and

4

11. EVALUATE LOG 1000

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a) 100b) 10c) 3d) 2

12. EVALUATE ln e

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a) eb) 1c) 0d) 10

13. SIMPLIFY LOG 13 1

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10

a) 0b) 13c) 1d) no solution

14. WRITE AS A SINGLE LOG2LOG X – LOG Y

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a) log (2x/y)b) log (x2/y)c) log x2/log yd) log (x2y)

15. EXPAND LOG (XY)3

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a) 3(log x + log y)b) log 3x + log 3yc) log 3xyd) log 3x + log y

16. SIMPLIFY LOG82 + LOG832

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a) 2b) ½c) log 834

d) 4

17. SIMPLIFY LOG 300 – LOG 3

a) Log 297b) Log 900c) Ln 100d) 2

18. SIMPLIFY ln e7

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a) eb) 7c) e7

d) no solution

19. SIMPLIFY LOG5 3√25

a) 1/3b) 2c) 2/3d) no solution

20. SOLVE LOG5(2x – 3) = 2

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a) x = 13/2b) x = 14c) x = 35/2d) x = 11

21. SOLVE LOG7 (x2 - 10) = LOG7

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10

a) x = 5b) x = -2c) x = 5 and x = -2d) x = 21

22. SOLVE LOG2X – LOG2(X – 4) = 1

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a) x = 8b) x = 5c) x = 3d) x = 1

23. WHAT IS THE DOMAIN OF Y = LOG 3 (12 – 2X)?

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a) x > 3b) x < 3c) x > 6d) x < 6

24. SOLVE 2ex + 5 = 115

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a) about 4.007b) about 3.666c) about 9.399d) about 55

25. SOLVE 2X + 13 = 23

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10

a) 5b) about 3.32c) about 7.47d) about 3.49