MHR • Advanced Functions 12 Solutions 660

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ii) Renata will earn more at firm B after 20 years. c) Answers may vary. A sample solution is shown. Does Renata plan to stay at the job for more than 6.7 years? If not, she would get more money taking Firm A’s offer. She should also consider the benefits and experiences the jobs offer. Chapter 7 Section 3 Question 19 Page 386 Solutions to Achievement Check questions are provided in the Teacher’s Resource. Chapter 7 Section 3 Question 20 Page 386 " log b # $ Let x = log b m and y = log b n b x = m and b y = n m n = bx b y m n = bx! y m% n & ' = x ! y " m% log b # $ n & ' = log m ! log n b b product law of exponents logarithm to base b of both sides Chapter 7 Section 3 Question 21 Page 386 a) Let x = log b m and y = log b n b x = m and b y = n log b mn = log b m + log b n product law of logarithms log b mn = x + y mn = b x+ y b x b y = b x+ y MHR • Advanced Functions 12 Solutions 701
) Let x = log b m and y = log b n b x = m and b y = n ! m$ log b " # n % & = log m ' log n quotient law of logarithms b b ! m$ log b " # n % & = x ' y m n = bx' y b x b y = bx' y MHR • Advanced Functions 12 Solutions 702
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 and 8: Chapter 7 Section 1 Question 4 Page
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 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 41: Chapter 7 Section 3 Question 17 Pag
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 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 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

MHR • Advanced Functions 12 Solutions 660

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