MHR • Advanced Functions 12 Solutions 660

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Chapter 7 Section 1 Equivalent Forms of Exponential Equations Chapter 7 Section 1 Question 1 Page 368 a) (2 2 ) 6 = 2 12 b) (2 3 ) 3 = 2 9 c) ! 1 $ " # % & 2 3 2 = ( 2 ) '3 2 = 2 '6 log 2 k = log14 k log 2 = log14 d) 2 k = 14 k = log14 log 2 log14 log 2 14 = 2 Chapter 7 Section 1 Question 2 Page 368 a) (3 3 ) 2 = 3 6 b) (3 –1 ) 4 = 3 –4 c) 3 k = 10 log3 k = log10 k log3 = log10 k = 1 log3 10 = 3 1 log 3 d) 3 k = 1 2 log3 k = log 1 2 k log3 = log 1 2 k = log 1 2 log3 log 1 2 1 2 = 3 log 3 Chapter 7 Section 1 Question 3 Page 368 a) Answers may vary. A sample solution is 4 4 . b) Answers may vary. A sample solution is 16 2 . c) MHR • Advanced Functions 12 Solutions 665
Chapter 7 Section 1 Question 4 Page 368 a) 4 3 b) 4 2 ( ) 1 2 3 = 4 3 c) 4 3 ( ) 1 " 2 ! $ 4 # 7 2 % ' & 3 4 3 = 4 2 ! 4 12 = 4 8 + 21 8 33 = 4 8 21 8 ! 1 $ d) 2 2 # & " % 8 ! 1 $ ' 23 # & " % 4 4 = 2 4 ' 2 3 12 = 2 3 + 4 3 16 = 2 3 ! 1 $ = 4 2 # & " % 8 = 43 16 3 Chapter 7 Section 1 Question 5 Page 368 a) 2 4x = ( 2 ) 2 x+3 2 4x = 2 2x+6 4x = 2x + 6 2x = 6 x = 3 b) ( 5 ) 2 x!1 = 5 3x 5 2x!2 = 5 3x 2x ! 2 = 3x !2 = 3x ! 2x x = !2 c) 3 w+1 = ( 3 ) 2 w!1 3 w+1 = 3 2w!2 w +1 = 2w ! 2 1+ 2 = 2w ! w w = 3 d) ( 6 ) 2 3m!1 = 6 2m+5 6 6m!2 = 6 2m+5 6m ! 2 = 2m + 5 6m ! 2m = 5+ 2 4m = 7 m = 7 4 Check: a) MHR • Advanced Functions 12 Solutions 666
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: Chapter 7 Prerequisite Skills Quest
Page 9 and 10: ) c) d) Chapter 7 Section 1 Questio
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 57 and 58:
Chapter 7 Section 4 Question 10 Pag
Page 59 and 60:
Page 61 and 62:
Page 63 and 64:
Chapter 7 Section 5 Question 3 Page
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) i) y &= 4.21x - 3.07 ii) y &= 0.8
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Chapter 7 Section 5 Question 8 Page
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Page 71 and 72:
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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
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Chapter 7 Review Question 13 Page 4
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d) i) A = 500(1.033) 2t + 500(0.01)
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Chapter 7 Practice Test Question 6
Page 87 and 88:
d) Chapter 7 Practice Test Question
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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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