MHR • Advanced Functions 12 Solutions 660

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) c) d) Chapter 7 Section 1 Question 6 Page 368 a) ( 2 ) 2 3x = ( 2 ) 3 x!3 b) ( 3 ) 3 x = ( 3 ) 2 2x!3 c) ( 5 ) 3 2 y!1 = ( 5 ) 2 y+4 d) ( 2 ) 4 2k !3 = ( 2 ) 5 k +3 2 6x = 2 3x!9 3 3x = 3 4x!6 5 6 y!3 = 5 2 y+8 2 8k !12 5k +15 = 2 6x = 3x ! 9 3x = 4x ! 6 6y ! 3 = 2y + 8 8k !12 = 5k +15 3x = !9 4x ! 3x = 6 4y = 11 8k ! 5k = 15+12 Check: a) x = !3 x = 6 y = 11 4 3k = 27 k = 9 MHR • Advanced Functions 12 Solutions 667
) c) d) Chapter 7 Section 1 Question 7 Page 368 a) 10 2x = ( 10 ) 2 2x!5 10 2x = 10 4x!10 2x = 4x !10 4x ! 2x = 10 2x = 10 x = 5 b) log10 2x = log100 2x!5 2x log10 = (2x ! 5)log100 2x(1) = (2x ! 5)(2) 2x = 4x !10 4x ! 2x = 10 2x = 10 x = 5 c) Answers may vary. A sample solution is shown. I like using logarithms because I do not need to find a common base. MHR • Advanced Functions 12 Solutions 668
Page 1 and 2: Chapter 7 Tools and Strategies for
Page 3 and 4: c) x 2 + x !1 = 0 x = !1± 12 ! 4(1
Page 5 and 6: Chapter 7 Prerequisite Skills Quest
Page 7: Chapter 7 Section 1 Question 4 Page
Page 11 and 12: Chapter 7 Section 1 Question 10 Pag
Page 17 and 18: Chapter 7 Section 2 Techniques for
Page 19 and 20: c) Answers may vary. A sample solut
Page 21 and 22: Chapter 7 Section 2 Question 8 Page
Page 25 and 26: f) 4 x ! 3!18(4 ! x ) = 0 (4 x ) 2
Page 27 and 28: d) e) There is no zero so there is
Page 37 and 38: d) 2log w + 3log w + 1 2 log ! 1 $
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 51 and 52: Check: d) 1 = log( y + 9) ! log y "
Page 53 and 54: ! f) log p + 5 $ " # p +1% & = 3 p
Page 59 and 60:
Chapter 7 Section 4 Question 13 Pag
Page 61 and 62:
Page 63 and 64:
Chapter 7 Section 5 Question 3 Page
Page 65 and 66:
) i) y &= 4.21x - 3.07 ii) y &= 0.8
Page 67 and 68:
Chapter 7 Section 5 Question 8 Page
Page 69 and 70:
Page 71 and 72:
Page 73 and 74:
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 and 88:
d) Chapter 7 Practice Test Question
Page 89 and 90:
Chapter 7 Practice Test Question 10
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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