5 log 3 x log 3 7 30 3 log 8 5 log 8 z 31 32 745746 Use the properties of

5 log 3 x log 3 7 30 3 log 8 5 log 8 z 31 32 745746

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5 log 3 x log 3 7 30. 3 log 8 5 log 8 z 31. 32. 745746 Use the properties of logarithms to simplify each of the following. 33. log 3 3 34. log 7 7 35. log e e 36. log 10 10 37. log 9 1 38. log e 1 39. 3 log 7 7 + 4 log 7 1 40. Find x in each of the following. Page 25 of 45 Print | Beginning & Intermediate Algebra 1/31/2014 ...
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PRINTED BY: [email protected] Printing is for personal, private use only. No part of this book may be reproduced or transmitted without publisher's prior permission. Violators will be prosecuted. 41. log 8 x = log 8 7 42. log 9 x = log 9 5 43. log 5 (2 x + 7) = log 5 29 44. log 15 26 = log 15 (3 x 1) 45. log 3 1 = x 46. log 8 1 = x 47. log 7 7 = x 48. log 5 5 = x 49. log 10 x + log 10 25 = 2 50. log 10 x + log 10 5 = 1 51. log 2 7 = log 2 x log 2 3 52. log 5 1 = log 5 x log 5 8 53. 3 log 5 x = log 5 8 54. 1 2 log 3 x = log 3 4 55. log e x = log e 5 + 1 56. log e x + log e 7 = 2 57. log 6 (5 x + 21) log 6 ( x + 3) = 1 58. log 3 (4 x + 6) log 3 ( x 1) = 2 59. It can be shown that y = b log b y . Use this property to evaluate 5 log54 + 3 log32 . 60. It can be shown that x = log b b x . Use this property to evaluate Cumulative Review 61. [1.8.2] The formula to find the volume of a cylinder is V = π r 2 h . Find the volume of a cylinder with a radius of 2 meters and a height of 5 meters. Round your answer to the nearest tenth. 62. [1.8.2] Find the area of a circle whose radius is 4 meters. Round your answer to the nearest tenth. 63. [4.1.4] Solve the system. 5 x + 3 y = 9 7 x 2 y = 25 64. [4.2.2] Solve the system. 2 x y + z = 3 x + 2 y + 2 z = 1 4 x + y + 2 z = 0 746747 At the end of 2010, a study ranked the top ten cities where households owed the highest percent of their average yearly income to credit card companies. Below is the information for Wilmington, North Carolina (ranked #1), and Toled 65. [0.5.4; 5.2.2] Wilmington, North Carolina Number of households: 1.53 × 10 5 Total credit card debt for all households: +1.117 × 10 9 Average yearly household income: $42,392 66. [0.5.4; 5.2.2] Toledo, Ohio Number of households: 2.56 × 10 5 Total credit card debt for all households: +1.9 × 10 9 Average yearly household income: $44,349 Quick Quiz 12.3 1. Page 26 of 45 Print | Beginning & Intermediate Algebra 1/31/2014 ...
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PRINTED BY: [email protected] Printing is for personal, private use only. No part of this book may be reproduced or transmitted without publisher's prior permission. Violators will be prosecuted. Express as a sum or difference of single logarithms. 2. Express 3 log 6 x + log 6 y log 6 5 as a single logarithm. 3. Find x if 4. Concept Check Explain how you would simplify log 10 (0.001). 747748 How Am I Doing? Sections 12.1–12.3 How are you doing with your homework assignments in Sections 12.1 to 12.3? Do you feel you have mastered the material so far? Do you understand the concepts you have covered? Before you go further in the textbook, take some ti 12.1 1. Sketch the graph of f ( x ) = 2 x . Plot at least four points.
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