MHR • Advanced Functions 12 Solutions 660

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Chapter 7 Section 1 Question 11 Page 368 a) log10 = log 2 x 1 = x log 2 x = 1 log 2 b) 10 = 2 x log10 = log 2 x 1 = x log 2 x = 1 log 2 Therefore 10 = 2 1 log 2 c) 10 = 3 x log10 = log3 x 1 = x log3 x = 1 log3 Therefore 10 = 3 1 log 3 Chapter 7 Section 1 Question 12 Page 368 10 = b x log10 = log b x 1 = x log b x = 1 log b log Therefore 10 = b b , b > 0 1 Chapter 7 Section 1 Question 13 Page 368 log a log b a = b log a = log b log a log b log a = log a log b log b log a = log a log a log Since both sides are equal, a = b b for any a, b > 0. Chapter 7 Section 1 Question 14 Page 369 Solutions to Achievement Check questions are provided in the Teacher’s Resource. MHR • Advanced Functions 12 Solutions 671
Chapter 7 Section 1 Question 15 Page 369 a) i) 2 3x > ( 2 ) 2 x+1 2 3x > 2 2x+2 3x > 2x + 2 3x ! 2x > 2 x > 2 ii) ( 3 ) 4 x!2 < ( 3 ) 3 2x+1 3 4x!8 < 3 6x+3 4x ! 8 < 6x + 3 !8 ! 3 < 6x ! 4x !11 < 2x x > ! 11 2 b) Answers may vary. A sample solution is shown. Graph each side of the inequality as a separate function. Find their point of intersection. Test a point other than the point of intersection to ensure that the inequality is true. Check a) i): 181.02 > 128 MHR • Advanced Functions 12 Solutions 672
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: Chapter 7 Section 1 Question 10 Pag
Page 15 and 16: Chapter 7 Section 1 Question 16 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 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 63 and 64:
Chapter 7 Section 5 Question 3 Page
Page 65 and 66:
) 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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Chapter 7 Section 5 Question 12 Pag
Page 71 and 72:
Page 73 and 74:
Page 75 and 76:
Chapter 7 Review Chapter 7 Review Q
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! 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
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d) Chapter 7 Practice Test Question
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Chapter 7 Practice Test Question 10
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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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