MHR • Advanced Functions 12 Solutions 660

More documents

Recommendations

Info

Chapter 7 Review Question 9 Page 408 a) log 6 (8 ! 27) = log 6 216 = 3 c) log 2 2 + log5 2 = log 4 + log 25 = log(4 ! 25) = log100 = 2 ! 128$ b) log 4 " # 8 % & = log 16 4 = 2 d) log3 2 + log12.5 = log9 + log12.5 = log(9 !12.5) = log112.5 &= 2.05 Chapter 7 Review Question 10 Page 408 " 8 ! 4% a) log 7 # $ 16 & ' = log 2 7 ! b) log a 2 + log(3b) – log c = log 3a2 b$ # & , a > 0, b > 0, c > 0 " c % Chapter 7 Review Question 11 Page 408 a) log a 2 + log b + log c = 2 log a + log b + log c, a > 0, b > 0, c > 0 1 b) log k ! log m = log k ! log m2 = log k ! 1 log m, k > 0, m > 0 2 Chapter 7 Review Question 12 Page 408 " a) log 2m + 6 % # $ m 2 ! 9 & ' = log " 2(m + 3) % # $ (m ! 3)(m + 3) & ' " 2 % = log # $ m ! 3& ' ,m > 3 " b) log x2 + 2x !15% " (x + 5)(x ! 3) % $ # x 2 ' = log ! 7x +12& # $ (x ! 4)(x ! 3) & ' " = log x + 5 % # $ x ! 4& ' , x > 4 or x < !5 MHR • Advanced Functions 12 Solutions 739
Chapter 7 Review Question 13 Page 408 a) log(2x +10) = 2 2x +10 = 10 2 2x = 100 !10 2x = 90 x = 45 b) 1! log(2x) = 0 1 = log(2x) 10 1 = 2x x = 5 Chapter 7 Review Question 14 Page 408 log 2 ! " x(x + 2) # $ = log 8 2 x 2 + 2x = 8 x 2 + 2x % 8 = 0 (x + 4)(x % 2) = 0 x = 2 x = %4 is an extraneous root since it would make log 2 x and log 2 (x + 2) undefined. Chapter 7 Review Question 15 Page 408 MHR • Advanced Functions 12 Solutions 740
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 13 and 14:
Page 15 and 16:
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 23 and 24:
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 29 and 30: Chapter 7 Section 2 Question 15 Pag
Page 35 and 36: Chapter 7 Section 3 Question 5 Page
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 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: Chapter 7 Review Question 7 Page 40
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
show all

MHR • Advanced Functions 12 Solutions 660

Create successful ePaper yourself

Delete template?

Save as template?