Problem 1MP: Matched Problem 1 Change each logarithmic form to an equivalent exponential form: (A) log3 9 = 2 (B)... Problem 2MP: Matched Problem 2 Change each exponential form to an equivalent logarithmic form: (A) 49 = 72 (B)... Problem 3MP: Matched Problem 3 Find y, b, or x, as indicated. (A) Find y: y = log9 27 (B) Find x: log3 x = 1 (C)... Problem 4MP: Matched Problem 4 Write in simpler form, as in Example 4. (A) logbRST (B) logb(RS)2/3 (C) 2ulog2b... Problem 5MP: Matched Problem 5 Find x so that 3logb2+12logb25logb20=logbx. Problem 6MP Problem 7MP: Matched Problem 7 Use a calculator to evaluate each to six decimal places: (A) log 0.013 529 (B) ln... Problem 8MP Problem 9MP: Matched Problem 9 Solve for x to four decimal places: (A) 10x = 7 (B) ex = 6 (C) 4x = 5 Problem 10MP: Matched Problem 10 How long (to the next whole year) will it take money to triple if it is invested... Problem 11MP: Matched Problem 11 Refer to Example 11. Use the model to predict the home ownership rate in the... Problem 1ED Problem 2ED Problem 1E: For Problems 16, rewrite in equivalent exponential form. 1. log3 27 = 3 Problem 2E: For Problems 16, rewrite in equivalent exponential form. 2. log2 32 = 5 Problem 3E: For Problems 16, rewrite in equivalent exponential form. 3. log10 1 = 0 Problem 4E: For Problems 16, rewrite in equivalent exponential form. 4. loge 1 = 0 Problem 5E: For Problems 16, rewrite in equivalent exponential form. 5. log48=32 Problem 6E: For Problems 16, rewrite in equivalent exponential form. 6. log927=32 Problem 7E: For Problems 712, rewrite in equivalent logarithmic form. 7. 49 = 72 Problem 8E: For Problems 712, rewrite in equivalent logarithmic form. 8. 36 = 62 Problem 9E: For Problems 712, rewrite in equivalent logarithmic form. 9. 8 = 43/2 Problem 10E: For Problems 712, rewrite in equivalent logarithmic form. 10. 9 = 272/3 Problem 11E: For Problems 712, rewrite in equivalent logarithmic form. 11. A = bu Problem 12E: For Problems 712, rewrite in equivalent logarithmic form. 12. M = bx Problem 13E: In Problems 1322, evaluate the expression without using a calculator. 13. log10 1,000,000 Problem 14E Problem 15E: In Problems 1322, evaluate the expression without using a calculator. 15. log101100,000 Problem 16E Problem 17E: In Problems 1322, evaluate the expression without using a calculator. 17. log2 128 Problem 18E: In Problems 1322, evaluate the expression without using a calculator. 18. log2164 Problem 19E: In Problems 1322, evaluate the expression without using a calculator. 19. ln e3 Problem 20E: In Problems 1322, evaluate the expression without using a calculator. 20. eln(1) Problem 21E: In Problems 1322, evaluate the expression without using a calculator. 21. eln(3) Problem 22E: In Problems 1322, evaluate the expression without using a calculator. 22. ln e1 Problem 23E: For Problems 2328, write in simpler form, as in Example 4. 23. logbPO Problem 24E Problem 25E: For Problems 2328, write in simpler form, as in Example 4. 25. logb L5 Problem 26E: For Problems 2328, write in simpler form, as in Example 4. 26. logb w15 Problem 27E: For Problems 2328, write in simpler form, as in Example 4. 27. 3plog3q Problem 28E Problem 29E: For Problems 2938, find x, y, or b without using a calculator. 29. log10 x = 1 Problem 30E: For Problems 2938, find x, y, or b without using a calculator. 30. log10 x = 1 Problem 31E: For Problems 2938, find x, y, or b without using a calculator. 31. logb 64 = 3 Problem 32E: For Problems 2938, find x, y, or b without using a calculator. 32. logb125=2 Problem 33E: For Problems 2938, find x, y, or b without using a calculator. 33. log218=y Problem 34E: For Problems 2938, find x, y, or b without using a calculator. 34. log49 7 = y Problem 35E: For Problems 2938, find x, y, or b without using a calculator. 35. logb 81 = 4 Problem 36E: For Problems 2938, find x, y, or b without using a calculator. 36. logb 10,000 = 2 Problem 37E: For Problems 2938, find x, y, or b without using a calculator. 37. log4x=32 Problem 38E Problem 39E: In Problems 3946, discuss the validity of each statement. If the statement is always true, explain... Problem 40E: In Problems 3946, discuss the validity of each statement. If the statement is always true, explain... Problem 41E: In Problems 3946, discuss the validity of each statement. If the statement is always true, explain... Problem 42E: In Problems 3946, discuss the validity of each statement. If the statement is always true, explain... Problem 43E: In Problems 3946, discuss the validity of each statement. If the statement is always true, explain... Problem 44E: In Problems 3946, discuss the validity of each statement. If the statement is always true, explain... Problem 45E: In Problems 3946, discuss the validity of each statement. If the statement is always true, explain... Problem 46E Problem 47E: Find x in Problems 4754. 47. logbx=23logb8+12logb9logb6 Problem 48E: Find x in Problems 4754. 48. logbx=23logb27+2logb2logb3 Problem 49E: Find x in Problems 4754. 49. logbx=32logb423logb8+2logb2 Problem 50E: Find x in Problems 4754. 50. logbx=3logb2+12logb25logb20 Problem 51E: Find x in Problems 4754. 51. logb x + logb(x 4) = logb 21 Problem 52E Problem 53E: Find x in Problems 4754. 53. log10(x 1) log10(x + 1) = 1 Problem 54E: Find x in Problems 4754. 54. log10(x + 6) log10(x 3) = 1 Problem 55E: Graph Problems 55 and 56 by converting to exponential form first. 55. y = log2(x 2) Problem 56E: Graph Problems 55 and 56 by converting to exponential form first. 56. y = log3(x + 2) Problem 57E Problem 58E: Explain how the graph of the equation in Problem 56 can be obtained from the graph of y = log3 x... Problem 59E: What are the domain and range of the function defined by y = 1 + ln(x + 1)? Problem 60E: What are the domain and range of the function defined by y = log(x 1) 1? Problem 61E: For Problems 61 and 62, evaluate to five decimal places using a calculator. 61. (A) log 3,527.2 (B)... Problem 62E: For Problems 61 and 62, evaluate to five decimal places using a calculator. 62. (A) log 72.604 (B)... Problem 63E: For Problems 63 and 64, find x to four decimal places. 63. (A) log x = 1.1285 (B) log x = 2.0497 (C)... Problem 64E: For Problems 63 and 64, find x to four decimal places. 64. (A) log x = 2.0832 (B) log x = 1.1577 (C)... Problem 65E: For Problems 6570, solve each equation to four decimal places. 65. 10x = 12 Problem 66E: For Problems 6570, solve each equation to four decimal places. 66. 10x = 153 Problem 67E: For Problems 6570, solve each equation to four decimal places. 67. ex = 4.304 Problem 68E: For Problems 6570, solve each equation to four decimal places. 68. ex = 0.3059 Problem 69E: For Problems 6570, solve each equation to four decimal places. 69. 1.00512t = 3 Problem 70E: For Problems 6570, solve each equation to four decimal places. 70. 1.024t = 2 Problem 71E Problem 72E: Graph Problems 7178 using a calculator and point-by-point plotting. Indicate increasing and... Problem 73E: Graph Problems 7178 using a calculator and point-by-point plotting. Indicate increasing and... Problem 74E Problem 75E: Graph Problems 7178 using a calculator and point-by-point plotting. Indicate increasing and... Problem 76E Problem 77E: Graph Problems 7178 using a calculator and point-by-point plotting. Indicate increasing and... Problem 78E: Graph Problems 7178 using a calculator and point-by-point plotting. Indicate increasing and... Problem 79E: Explain why the logarithm of 1 for any permissible base is 0. Problem 80E Problem 81E: Let p(x) = ln x, q(x)=x, and r(x) = x. Use a graphing calculator to draw graphs of all three... Problem 82E: Let p(x) = log x, q(x)=x3, and r(x) = x. Use a graphing calculator to draw graphs of all three... Problem 83E: Doubling time. In its first 10 years the Gabelli Growth Fund produced an average annual return of... Problem 84E: Doubling time. In its first 10 years the Janus Flexible Income Fund produced an average annual... Problem 85E: Investing. How many years (to two decimal places) will it take 1,000 to grow to 1,800 if it is... Problem 86E: Investing. How many years (to two decimal places) will it take 5,000 to grow to 7,500 if it is... Problem 87E: Continuous compound interest. How many years (to two decimal places) will it take an investment of... Problem 88E: Continuous compound interest. How many years (to two decimal places) will it take an investment of... Problem 89E Problem 90E Problem 91E: Sound intensity: decibels. Because of the extraordinary range of sensitivity of the human ear (a... Problem 92E Problem 93E Problem 94E Problem 95E Problem 96E: Archaeology: carbon-14 dating. The radioactive carbon-14 (14C) in an organism at the time of its... format_list_bulleted