CALCULUS WITH APPLICATIONS
CALCULUS WITH APPLICATIONS
11th Edition
ISBN: 2818440028601
Author: Lial
Publisher: XX SUPPLY
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Chapter 2.5, Problem 18E
To determine

To evaluate: The logarithm log3(181) without using a calculator.

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Chapter 2 Solutions

CALCULUS WITH APPLICATIONS

Ch. 2.1 - Which of the following rules define y as a...Ch. 2.1 - Prob. 6ECh. 2.1 - Prob. 7ECh. 2.1 - Which of the following rules define y as a...Ch. 2.1 - Prob. 9ECh. 2.1 - List the ordered pairs obtained from each...Ch. 2.1 - Prob. 11ECh. 2.1 - Prob. 12ECh. 2.1 - Prob. 13ECh. 2.1 - Prob. 14ECh. 2.1 - Prob. 15ECh. 2.1 - List the ordered pairs obtained from each...Ch. 2.1 - Give the domain of each function defined as...Ch. 2.1 - Prob. 18ECh. 2.1 - Prob. 19ECh. 2.1 - Give the domain of each function defined as...Ch. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - Give the domain of each function defined as...Ch. 2.1 - Give the domain of each function defined as...Ch. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - Prob. 30ECh. 2.1 - Prob. 31ECh. 2.1 - Prob. 32ECh. 2.1 - Prob. 33ECh. 2.1 - Prob. 34ECh. 2.1 - Give the domain and the range of each function....Ch. 2.1 - Prob. 36ECh. 2.1 - Prob. 37ECh. 2.1 - Prob. 38ECh. 2.1 - Prob. 39ECh. 2.1 - In Exercises 40, give the domain and range. Then,...Ch. 2.1 - Prob. 41ECh. 2.1 - Prob. 42ECh. 2.1 - For each function, find (a) f(4), (b) f(−1/2), (c)...Ch. 2.1 - Prob. 44ECh. 2.1 - Prob. 45ECh. 2.1 - Prob. 46ECh. 2.1 - Prob. 47ECh. 2.1 - Prob. 48ECh. 2.1 - Prob. 49ECh. 2.1 - Prob. 50ECh. 2.1 - Prob. 51ECh. 2.1 - Prob. 52ECh. 2.1 - Prob. 53ECh. 2.1 - Prob. 54ECh. 2.1 - For each function defined as follows, find (a) f(x...Ch. 2.1 - Prob. 56ECh. 2.1 - Prob. 57ECh. 2.1 - Prob. 58ECh. 2.1 - Prob. 59ECh. 2.1 - Prob. 60ECh. 2.1 - Prob. 61ECh. 2.1 - Prob. 62ECh. 2.1 - Prob. 63ECh. 2.1 - Classify each of the functions in Exercise as...Ch. 2.1 - Prob. 65ECh. 2.1 - Prob. 66ECh. 2.1 - Prob. 67ECh. 2.1 - Prob. 68ECh. 2.1 - Prob. 69ECh. 2.1 - Prob. 70ECh. 2.1 - Prob. 71ECh. 2.1 - Prob. 72ECh. 2.1 - Prob. 73ECh. 2.1 - Prob. 74ECh. 2.1 - 75. Attorney Fees According to Massachusetts State...Ch. 2.1 - 76. Tax Rates In New York state in 2014, the...Ch. 2.1 - Prob. 77ECh. 2.1 - Prob. 78ECh. 2.1 - Prob. 79ECh. 2.1 - Prob. 80ECh. 2.1 - Prob. 81ECh. 2.2 - YOUR TURN 1 For the function y = 2x2 − 6x − 1, (a)...Ch. 2.2 - Prob. 2YTCh. 2.2 - Prob. 3YTCh. 2.2 - Prob. 4YTCh. 2.2 - Prob. 5YTCh. 2.2 - Prob. 1WECh. 2.2 - Prob. 2WECh. 2.2 - Prob. 3WECh. 2.2 - Prob. 4WECh. 2.2 - Prob. 1ECh. 2.2 - Prob. 2ECh. 2.2 - Prob. 3ECh. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - Prob. 9ECh. 2.2 - Complete the square and determine the vertex for...Ch. 2.2 - Prob. 11ECh. 2.2 - Complete the square and determine the vertex for...Ch. 2.2 - Prob. 13ECh. 2.2 - In Exercise, graph each parabola and give its...Ch. 2.2 - Prob. 15ECh. 2.2 - Prob. 16ECh. 2.2 - Prob. 17ECh. 2.2 - Prob. 18ECh. 2.2 - Prob. 19ECh. 2.2 - Prob. 20ECh. 2.2 - In Exercise, graph each parabola and give its...Ch. 2.2 - In Exercise, graph each parabola and give its...Ch. 2.2 - Prob. 23ECh. 2.2 - Prob. 24ECh. 2.2 - Prob. 25ECh. 2.2 - Prob. 26ECh. 2.2 - Prob. 27ECh. 2.2 - Prob. 28ECh. 2.2 - Prob. 29ECh. 2.2 - Prob. 30ECh. 2.2 - Prob. 31ECh. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Use the ideas in this section to graph each...Ch. 2.2 - Prob. 37ECh. 2.2 - Use the ideas in this section to graph each...Ch. 2.2 - Prob. 39ECh. 2.2 - Prob. 40ECh. 2.2 - Prob. 41ECh. 2.2 - Using the graph of f(x) in Figure 23, show the...Ch. 2.2 - Using the graph of f(x) in Figure 23, show the...Ch. 2.2 - Prob. 44ECh. 2.2 - Prob. 45ECh. 2.2 - Prob. 46ECh. 2.2 - Prob. 47ECh. 2.2 - Prob. 48ECh. 2.2 - Prob. 49ECh. 2.2 - Prob. 50ECh. 2.2 - Prob. 51ECh. 2.2 - Prob. 52ECh. 2.2 - Prob. 53ECh. 2.2 - Prob. 54ECh. 2.2 - 55. Income The manager of an 80-unit apartment...Ch. 2.2 - 56. Revenue The manager of a peach orchard is...Ch. 2.2 - 57. Maximizing Revenue The demand for a certain...Ch. 2.2 - Prob. 58ECh. 2.2 - 60. Tooth Length The length (in mm) of the...Ch. 2.2 - Prob. 61ECh. 2.2 - Prob. 62ECh. 2.2 - Prob. 63ECh. 2.2 - Prob. 66ECh. 2.2 - Prob. 67ECh. 2.2 - Prob. 68ECh. 2.2 - Prob. 69ECh. 2.2 - Prob. 70ECh. 2.2 - Prob. 71ECh. 2.2 - Prob. 72ECh. 2.3 - YOUR TURN 1 Graph f(x) = 64 − x6. Ch. 2.3 - Prob. 2YTCh. 2.3 - Prob. 1WECh. 2.3 - Prob. 2WECh. 2.3 - Describe the graph of each of the following...Ch. 2.3 - Prob. 4WECh. 2.3 - Prob. 1ECh. 2.3 - Prob. 2ECh. 2.3 - Use the principles of the previous section with...Ch. 2.3 - Use the principles of the previous section with...Ch. 2.3 - Prob. 5ECh. 2.3 - Prob. 6ECh. 2.3 - Prob. 7ECh. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - In Exercise, match the correct graph A-I to the...Ch. 2.3 - Prob. 11ECh. 2.3 - Prob. 12ECh. 2.3 - Prob. 13ECh. 2.3 - Prob. 14ECh. 2.3 - Prob. 15ECh. 2.3 - In Exercise, match the correct graph A–E to the...Ch. 2.3 - In Exercise, match the correct graph A–E to the...Ch. 2.3 - In Exercise, match the correct graph A–E to the...Ch. 2.3 - Prob. 19ECh. 2.3 - In Exercise, match the correct graph A–E to the...Ch. 2.3 - Prob. 21ECh. 2.3 - Prob. 22ECh. 2.3 - Prob. 23ECh. 2.3 - Each of the following is the graph of a polynomial...Ch. 2.3 - Prob. 25ECh. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - Find any horizontal and vertical asymptotes and...Ch. 2.3 - Prob. 29ECh. 2.3 - Prob. 30ECh. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - Prob. 33ECh. 2.3 - Prob. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Prob. 36ECh. 2.3 - Prob. 37ECh. 2.3 - Prob. 38ECh. 2.3 - Prob. 39ECh. 2.3 - Find any horizontal and vertical asymptotes and...Ch. 2.3 - Prob. 41ECh. 2.3 - 42. Write an equation that defines a rational...Ch. 2.3 - 43. Consider the polynomial functions defined by...Ch. 2.3 - Prob. 44ECh. 2.3 - Prob. 45ECh. 2.3 - Prob. 46ECh. 2.3 - Prob. 47ECh. 2.3 - Prob. 48ECh. 2.3 - Prob. 49ECh. 2.3 - Prob. 50ECh. 2.3 - 51. Cost-Benefit Model Suppose a cost-benefit...Ch. 2.3 - Prob. 52ECh. 2.3 - 54. Cardiac Output A technique for measuring...Ch. 2.3 - Prob. 55ECh. 2.3 - Prob. 56ECh. 2.3 - Prob. 57ECh. 2.3 - Prob. 58ECh. 2.3 - Prob. 59ECh. 2.3 - Prob. 60ECh. 2.4 - YOUR TURN 1 Solve 25x/2 = 125x + 3 Ch. 2.4 - Prob. 2YTCh. 2.4 - Prob. 3YTCh. 2.4 - Prob. 1WECh. 2.4 - Prob. 2WECh. 2.4 - Prob. 3WECh. 2.4 - Prob. 4WECh. 2.4 - Prob. 1ECh. 2.4 - Prob. 2ECh. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.4 - Prob. 5ECh. 2.4 - Prob. 6ECh. 2.4 - Prob. 7ECh. 2.4 - Prob. 8ECh. 2.4 - Prob. 9ECh. 2.4 - Prob. 10ECh. 2.4 - Prob. 11ECh. 2.4 - Prob. 12ECh. 2.4 - Prob. 13ECh. 2.4 - Solve each equation. 14. 4x = 64 Ch. 2.4 - Prob. 15ECh. 2.4 - Solve equation. 16. Ch. 2.4 - Prob. 17ECh. 2.4 - Solve equation. 18. 25x = 125x + 2 Ch. 2.4 - Prob. 19ECh. 2.4 - Solve equation. 20. (e3)−2x = e−x + 5 Ch. 2.4 - Prob. 21ECh. 2.4 - Prob. 22ECh. 2.4 - Prob. 23ECh. 2.4 - Solve equation. 24. Ch. 2.4 - Solve equation. 25. Ch. 2.4 - Prob. 26ECh. 2.4 - Prob. 27ECh. 2.4 - Solve equation. 28. Ch. 2.4 - Prob. 29ECh. 2.4 - Graph of the following. 30. y = −2ex − 3 Ch. 2.4 - Graph of the following. 31. y = −3e−2x + 2 Ch. 2.4 - Graph of the following. 32. y = 4e−x/2 − 1 Ch. 2.4 - Prob. 33ECh. 2.4 - Prob. 34ECh. 2.4 - Prob. 35ECh. 2.4 - Prob. 36ECh. 2.4 - 37. Interest Find the interest earned on $10,000...Ch. 2.4 - 38. Interest Suppose $26,000 is borrowed for 4...Ch. 2.4 - Prob. 39ECh. 2.4 - Prob. 40ECh. 2.4 - Prob. 41ECh. 2.4 - 42. Interest Janeli Bitor invests a $25,000...Ch. 2.4 - 43. Interest Andrea Davis plans to invest $600...Ch. 2.4 - Prob. 44ECh. 2.4 - Prob. 45ECh. 2.4 - Prob. 46ECh. 2.4 - 47. Gross Domestic Product The U.S. Gross Domestic...Ch. 2.4 - Prob. 48ECh. 2.4 - Prob. 49ECh. 2.4 - Prob. 50ECh. 2.4 - Prob. 51ECh. 2.4 - Prob. 52ECh. 2.4 - Prob. 53ECh. 2.4 - Prob. 54ECh. 2.4 - Prob. 55ECh. 2.4 - Prob. 56ECh. 2.5 - YOUR TURN 1 Write the equation 5−2 = 1/25 in...Ch. 2.5 - Prob. 2YTCh. 2.5 - Prob. 3YTCh. 2.5 - Prob. 4YTCh. 2.5 - Prob. 5YTCh. 2.5 - Prob. 6YTCh. 2.5 - Prob. 7YTCh. 2.5 - Prob. 1WECh. 2.5 - Prob. 2WECh. 2.5 - Prob. 3WECh. 2.5 - Prob. 4WECh. 2.5 - Prob. 1ECh. 2.5 - Prob. 2ECh. 2.5 - Prob. 3ECh. 2.5 - Prob. 4ECh. 2.5 - Prob. 5ECh. 2.5 - Prob. 6ECh. 2.5 - Prob. 7ECh. 2.5 - Prob. 8ECh. 2.5 - Prob. 9ECh. 2.5 - Prob. 10ECh. 2.5 - Prob. 11ECh. 2.5 - Write logarithmic equation in exponential...Ch. 2.5 - Prob. 13ECh. 2.5 - Write logarithmic equation in exponential...Ch. 2.5 - Prob. 15ECh. 2.5 - Prob. 16ECh. 2.5 - Prob. 17ECh. 2.5 - Prob. 18ECh. 2.5 - Prob. 19ECh. 2.5 - Evaluate logarithm without using a calculator. 20....Ch. 2.5 - Prob. 21ECh. 2.5 - Prob. 22ECh. 2.5 - Prob. 23ECh. 2.5 - Prob. 24ECh. 2.5 - 25. Is the “logarithm to the base 3 of 4” written...Ch. 2.5 - Prob. 26ECh. 2.5 - Prob. 27ECh. 2.5 - Use the properties of logarithms to write...Ch. 2.5 - Prob. 29ECh. 2.5 - Prob. 30ECh. 2.5 - Use the properties of logarithms to write...Ch. 2.5 - Use the properties of logarithms to write...Ch. 2.5 - Prob. 33ECh. 2.5 - Suppose logb 2 = a and logb 3 = c. Use the...Ch. 2.5 - Prob. 35ECh. 2.5 - Prob. 36ECh. 2.5 - Prob. 37ECh. 2.5 - Prob. 38ECh. 2.5 - Prob. 39ECh. 2.5 - Use natural logarithms to evaluate each logarithm...Ch. 2.5 - Prob. 41ECh. 2.5 - Solve equation in Exercise Round decimal answers...Ch. 2.5 - Prob. 43ECh. 2.5 - Solve equation in Exercise Round decimal answers...Ch. 2.5 - Prob. 45ECh. 2.5 - Prob. 46ECh. 2.5 - Solve equation in Exercise Round decimal answers...Ch. 2.5 - Prob. 48ECh. 2.5 - Solve equation in Exercise Round decimal answers...Ch. 2.5 - Solve equation in Exercise Round decimal answers...Ch. 2.5 - Solve equation in Exercise Round decimal answers...Ch. 2.5 - Prob. 52ECh. 2.5 - Prob. 53ECh. 2.5 - Solve equation in Exercise Round decimal answers...Ch. 2.5 - Solve equation in Exercise Round decimal answers...Ch. 2.5 - Solve equation in Exercise Round decimal answers...Ch. 2.5 - Solve equation in Exercise Round decimal answers...Ch. 2.5 - Prob. 58ECh. 2.5 - Prob. 59ECh. 2.5 - Prob. 60ECh. 2.5 - Prob. 61ECh. 2.5 - Solve equation in Exercise Round decimal answers...Ch. 2.5 - Solve equation in Exercise Round decimal answers...Ch. 2.5 - Solve equation in Exercise Round decimal answers...Ch. 2.5 - Write expression using base e rather than base...Ch. 2.5 - Write expression using base e rather than base...Ch. 2.5 - Prob. 67ECh. 2.5 - Approximate expression in the form ax without...Ch. 2.5 - Prob. 69ECh. 2.5 - Prob. 70ECh. 2.5 - Prob. 71ECh. 2.5 - Prob. 72ECh. 2.5 - Prob. 73ECh. 2.5 - Prob. 74ECh. 2.5 - APPLICATIONS Business and Economics 75....Ch. 2.5 - Prob. 76ECh. 2.5 - 77. Interest Andrea Davis plans to invest $600...Ch. 2.5 - 78. Rule of 72 Complete the following table, and...Ch. 2.5 - 79. Gross Domestic Product In Exercise 47 of the...Ch. 2.5 - Prob. 80ECh. 2.5 - Prob. 81ECh. 2.5 - Prob. 82ECh. 2.5 - Prob. 83ECh. 2.5 - Prob. 84ECh. 2.5 - Prob. 85ECh. 2.5 - Prob. 86ECh. 2.5 - Prob. 87ECh. 2.5 - Prob. 88ECh. 2.5 - Prob. 89ECh. 2.5 - Prob. 90ECh. 2.5 - Prob. 91ECh. 2.5 - Prob. 92ECh. 2.5 - Prob. 93ECh. 2.5 - Prob. 94ECh. 2.5 - Prob. 95ECh. 2.5 - Prob. 96ECh. 2.6 - YOUR TURN 1 Find the growth function if 5 g grows...Ch. 2.6 - Prob. 2YTCh. 2.6 - Prob. 3YTCh. 2.6 - Prob. 4YTCh. 2.6 - Prob. 5YTCh. 2.6 - Prob. 1WECh. 2.6 - Prob. 2WECh. 2.6 - Prob. 3WECh. 2.6 - Prob. 1ECh. 2.6 - Prob. 2ECh. 2.6 - Prob. 3ECh. 2.6 - Prob. 4ECh. 2.6 - Prob. 5ECh. 2.6 - Prob. 6ECh. 2.6 - Effective Rate Find the effective rate...Ch. 2.6 - Effective Rate Find the effective rate...Ch. 2.6 - Effective Rate Find the effective rate...Ch. 2.6 - Prob. 10ECh. 2.6 - Find the present value of amount. 11. $10,000 if...Ch. 2.6 - Find the present value of amount. 12. $45,678.93...Ch. 2.6 - Prob. 13ECh. 2.6 - Prob. 14ECh. 2.6 - Prob. 15ECh. 2.6 - Find the present value of amount. 16. Effective...Ch. 2.6 - Prob. 17ECh. 2.6 - Find the present value of amount. 18. Present...Ch. 2.6 - Prob. 19ECh. 2.6 - Prob. 20ECh. 2.6 - Prob. 21ECh. 2.6 - 22. Interest Greg Tobin wishes to invest a $5000...Ch. 2.6 - 23. Sales Sales of a new model of compact disc...Ch. 2.6 - Prob. 24ECh. 2.6 - Prob. 25ECh. 2.6 - Prob. 26ECh. 2.6 - Prob. 27ECh. 2.6 - 28. Decrease in Bacteria When an antibiotic is...Ch. 2.6 - Prob. 29ECh. 2.6 - Prob. 30ECh. 2.6 - 31. Chromosomal Abnormality The graph in the next...Ch. 2.6 - 32. Carbon Dating Refer to Example 2. A sample...Ch. 2.6 - Prob. 33ECh. 2.6 - Prob. 34ECh. 2.6 - Prob. 35ECh. 2.6 - Prob. 36ECh. 2.6 - Prob. 37ECh. 2.6 - Prob. 38ECh. 2.6 - Prob. 39ECh. 2.6 - 40. Botany A group of Tasmanian botanists have...Ch. 2.6 - Prob. 41ECh. 2.6 - Prob. 42ECh. 2.6 - Prob. 43ECh. 2.6 - Prob. 44ECh. 2.6 - Prob. 45ECh. 2 - Prob. 1RECh. 2 - Prob. 2RECh. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - Prob. 21RECh. 2 - Prob. 22RECh. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Prob. 26RECh. 2 - Prob. 27RECh. 2 - Prob. 28RECh. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Prob. 32RECh. 2 - Prob. 33RECh. 2 - Prob. 34RECh. 2 - Prob. 35RECh. 2 - Prob. 36RECh. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Prob. 39RECh. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Prob. 45RECh. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Prob. 49RECh. 2 - Prob. 50RECh. 2 - Prob. 51RECh. 2 - Prob. 52RECh. 2 - Prob. 53RECh. 2 - Prob. 54RECh. 2 - Prob. 55RECh. 2 - Prob. 56RECh. 2 - Prob. 57RECh. 2 - Prob. 58RECh. 2 - Prob. 59RECh. 2 - Prob. 60RECh. 2 - Prob. 61RECh. 2 - Prob. 62RECh. 2 - Prob. 63RECh. 2 - Prob. 64RECh. 2 - Prob. 65RECh. 2 - Prob. 66RECh. 2 - Prob. 67RECh. 2 - Prob. 68RECh. 2 - Prob. 69RECh. 2 - Prob. 70RECh. 2 - Prob. 71RECh. 2 - Prob. 72RECh. 2 - Prob. 73RECh. 2 - Prob. 74RECh. 2 - Prob. 75RECh. 2 - Prob. 76RECh. 2 - Prob. 77RECh. 2 - Prob. 78RECh. 2 - Prob. 79RECh. 2 - Prob. 80RECh. 2 - Prob. 81RECh. 2 - Prob. 82RECh. 2 - Prob. 83RECh. 2 - Prob. 84RECh. 2 - Prob. 85RECh. 2 - Prob. 86RECh. 2 - Prob. 87RECh. 2 - Prob. 88RECh. 2 - Prob. 89RECh. 2 - Prob. 90RECh. 2 - Prob. 91RECh. 2 - Prob. 92RECh. 2 - Prob. 93RECh. 2 - Prob. 94RECh. 2 - Prob. 95RECh. 2 - Prob. 96RECh. 2 - Prob. 97RECh. 2 - Prob. 98RECh. 2 - Prob. 99RECh. 2 - Prob. 100RECh. 2 - Prob. 101RECh. 2 - Prob. 102RECh. 2 - Prob. 103RECh. 2 - Prob. 104RECh. 2 - Prob. 105RECh. 2 - Prob. 106RECh. 2 - Prob. 107RECh. 2 - Prob. 109RECh. 2 - Prob. 110RECh. 2 - Prob. 112RECh. 2 - Prob. 113RECh. 2 - Prob. 114RECh. 2 - Prob. 115RECh. 2 - Prob. 116RECh. 2 - Prob. 117RECh. 2 - 118. Glucose Concentration When glucose is...Ch. 2 - Prob. 120RECh. 2 - Prob. 121RE
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