Algebra 2 Concepts and Skills

Answer Transparencies for Checking Homework A22

Cop

yrig

ht ©

by

McD

ouga

l Lit

tell,

a d

ivis

ion

of H

ough

ton

Mif

flin

Com

pany

.

8.5 Guided Practice

1. 10 2. power property

3. 1.699 4. 20.473

5. 2.172 6. 20.613

7. log 2 1 log x 8. 5 log x

9. 2 log5

3x

10. 1 1 log4

x

11. log x 2 log y

12. log 2 2 log x 2 log y

13. 2 log4

x 2 log4

3 2 log4

y

14. log3

2 1 log3

x 2 5 log3

y

15. log8

21

16. log 64}3

17. log4

56

18. log3

4x8

19. log y5

}x

20. log5 100}

x

21. log4

x22 log

416y 5

2 log4

x 2 log4

16 2 log4

y 5

2 log4

x 2 2 2 log4

y

8.5 Practice and Applications

22. B 23. A

24. D 25. C

26. 2.226 27. 2.73

28. 20.504 29. 0.504

30. 20.861 31. 21.365

32. 0.357 33. 1.869

34. 3 log x 35. log 5 1 log x

36. 2 1 log3

x

37. log4

7 1 4 log4

x

38. log6

3 1 log6

x 2 log6

4

39. log x 1 log y

40. 2 log4

x 1 log4

y

41. log6

7 1 log6

x 1 4 log6

y

42. log3

x 2 log3

y

43. log4

x 2 log4

5 2 2 log4

y

44. 3 log5

x 2 log5

y

45. 3 log7 y 2 log

720 2 5 log

7 x

46. log4

63 47. log5 2}3

48. log 2 49. log2

75

50. log2

6x3 51. log7 x

2

}2

52. log 64y7 53. log5 x4

}32

54. log2 y}x4

55. log4

x8y6

56. log x2

}y

57. log2

xy2

58. 80 decibels

59. Yes; the loudness is about

88.0 decibels.

60. 20 decibels

61. 4.8 decibels louder

Answers for 8.5For use with pages 4452447

Algebra 2 Concepts and Skills

Answer Transparencies for Checking Homework A23

Cop

yrig

ht ©

by

McD

ouga

l Lit

tell,

a d

ivis

ion

of H

ough

ton

Mif

flin

Com

pany

.

62. About 4.78 decibels louder; when

the intensity of a sound triples,

the loudness increases by about

4.78 decibels, regardless of the

intensity of the original sound.

63. more acidic

64. 1.6, 3.4, 4.9

65. 3, 4.5, 6.8

66. n; 2log(102n) 5 log(102n)215

log(10n) 5 n

67. Let x 5 logb

m and y 5 logb

n.

Then m 5 bx and n 5 by, so

mn 5 bxby5 bx1y. By converting

back to logarithmic form, we see

that logb

mn 5 x 1 y 5

logb

m 1 logb

n.

68. Let x 5 logb

m and y 5 logb

n.

Then m 5 bx and n 5 by,

so m}n5

bx

}by 5 bx2y. By converting

back to logarithmic form, we see

that logb

m}n5 x 2 y 5

logb

m 2 logb

n.

69. Let x 5 logb

m. Then m 5 bx and

mn5 bxn. By converting back to

logarithmic form, we see that

logbmn5 xn 5 n log

bm.

8.5 Standardized Test Practice

70. D 71. G

72. B

8.5 Mixed Review

73. 4 74. 4

75. 27 76. 6

77. 23 78. 212

79. 2 80. 0

81. 25 82. 26 6 3Ï}

2

83. 4 6 Ï}

2 84. 2 6 Ï}

3

85. 27 6 2Ï}

2 86. 23 6 Ï}

6

87. 4 6 Ï}

13 88. 1

89. 2 90. 1

91. 0 92. 22

93. 25 94. 1}3

95. 27 96. 22

8.5 Geometry Skills

97. 120º; triangle

98. 60º; hexagon

99. 45º; octagon

Answers for 8.5 continued

For use with pages 4452447