MHR • Advanced Functions 12 Solutions 660

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Chapter 7 Practice Test Question 9 Page 410 ! a) 41 = 50 1 $ " # 2% & 0.82 = 1 2 10 h 10 h log0.82 = 10 h log 1 2 10 h = log0.82 log 1 2 h = h &= 35 10log 1 2 log0.82 The half-life is approximately 35 min. ! b) 0.01 = 1 $ " # 2% & t 35 log0.01 = t 35 log 1 2 t 35 = log0.01 log 1 2 t = 35log0.01 log 1 2 t &= 232.5 It will take approximately 232.5 min (approximately 3 h, 52 min, and 30 s) for the material to decay to 1% of its initial amount. MHR • Advanced Functions 12 Solutions 747
Chapter 7 Practice Test Question 10 Page 410 ! 0.10 = 1 $ " # 2% & 33 h log0.10 = 33 h log 1 2 33 h = log0.10 log 1 2 h = h &= 9.9 33log 1 2 log0.10 The half-life is approximately 9.9 min. Chapter 7 Practice Test Question 11 Page 411 a) log(x !1) 2 = log(x +1) b) (x !1) 2 = x +1 x 2 ! 2x +1! x !1 = 0 x 2 ! 3x = 0 x(x ! 3) = 0 x = 3 x = 0 is an extraneous root since log(x !1) would be undefined MHR • Advanced Functions 12 Solutions 748
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Chapter 7 Tools and Strategies for
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c) x 2 + x !1 = 0 x = !1± 12 ! 4(1
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Chapter 7 Prerequisite Skills Quest
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Chapter 7 Section 1 Question 4 Page
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) c) d) Chapter 7 Section 1 Questio
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Chapter 7 Section 1 Question 10 Pag
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Chapter 7 Section 2 Techniques for
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c) Answers may vary. A sample solut
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f) 4 x ! 3!18(4 ! x ) = 0 (4 x ) 2
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d) e) There is no zero so there is
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Page 37 and 38: d) 2log w + 3log w + 1 2 log ! 1 $
Page 39 and 40: Chapter 7 Section 3 Question 13 Pag
Page 43 and 44: ) Let x = log b m and y = log b n b
Page 47 and 48: Chapter 7 Section 4 Techniques for
Page 49 and 50: Chapter 7 Section 4 Question 3 Page
Page 51 and 52: Check: d) 1 = log( y + 9) ! log y "
Page 53 and 54: ! f) log p + 5 $ " # p +1% & = 3 p
Page 65 and 66: ) i) y &= 4.21x - 3.07 ii) y &= 0.8
Page 75 and 76: Chapter 7 Review Chapter 7 Review Q
Page 77 and 78: ! b) 0.05 = 1 $ " # 2% & t 5 log0.0
Page 79 and 80: Chapter 7 Review Question 7 Page 40
Page 81 and 82: Chapter 7 Review Question 13 Page 4
Page 83 and 84: d) i) A = 500(1.033) 2t + 500(0.01)
Page 85 and 86: Chapter 7 Practice Test Question 6
Page 87: d) Chapter 7 Practice Test Question
Page 91: e) i) y &= 95.67(0.96) 15 y &= 49.6
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MHR • Advanced Functions 12 Solutions 660

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