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 Problem 14E Problem 15E Problem 16E Problem 17E Problem 18E Problem 19E Problem 20E Problem 21E: For Problems 2328, write in simpler form, as in Example 4. 23. logbPO Problem 22E Problem 23E: For Problems 2328, write in simpler form, as in Example 4. 25. logb L5 Problem 24E: For Problems 2328, write in simpler form, as in Example 4. 26. logb w15 Problem 25E: For Problems 2328, write in simpler form, as in Example 4. 27. 3plog3q Problem 26E Problem 27E Problem 28E Problem 29E Problem 30E Problem 31E Problem 32E Problem 33E Problem 34E Problem 35E: In Problems 3946, discuss the validity of each statement. If the statement is always true, explain... Problem 36E: In Problems 3946, discuss the validity of each statement. If the statement is always true, explain... Problem 37E: In Problems 3946, discuss the validity of each statement. If the statement is always true, explain... Problem 38E: In Problems 3946, discuss the validity of each statement. If the statement is always true, explain... 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 Problem 43E: Find x in Problems 4754. 47. logbx=23logb8+12logb9logb6 Problem 44E: Find x in Problems 4754. 48. logbx=23logb27+2logb2logb3 Problem 45E: Find x in Problems 4754. 49. logbx=32logb423logb8+2logb2 Problem 46E: Find x in Problems 4754. 50. logbx=3logb2+12logb25logb20 Problem 47E: Find x in Problems 4754. 51. logb x + logb(x 4) = logb 21 Problem 48E Problem 49E: Find x in Problems 4754. 53. log10(x 1) log10(x + 1) = 1 Problem 50E: Find x in Problems 4754. 54. log10(x + 6) log10(x 3) = 1 Problem 51E: Graph Problems 55 and 56 by converting to exponential form first. 55. y = log2(x 2) Problem 52E: Graph Problems 55 and 56 by converting to exponential form first. 56. y = log3(x + 2) Problem 53E Problem 54E Problem 55E: What are the domain and range of the function defined by y = 1 + ln(x + 1)? Problem 56E: What are the domain and range of the function defined by y = log(x 1) 1? Problem 57E: For Problems 61 and 62, evaluate to five decimal places using a calculator. 61. (A) log 3,527.2 (B)... Problem 58E: For Problems 61 and 62, evaluate to five decimal places using a calculator. 62. (A) log 72.604 (B)... Problem 59E: For Problems 63 and 64, find x to four decimal places. 63. (A) log x = 1.1285 (B) log x = 2.0497 (C)... Problem 60E: For Problems 63 and 64, find x to four decimal places. 64. (A) log x = 2.0832 (B) log x = 1.1577 (C)... Problem 61E: For Problems 6570, solve each equation to four decimal places. 65. 10x = 12 Problem 62E: For Problems 6570, solve each equation to four decimal places. 66. 10x = 153 Problem 63E: For Problems 6570, solve each equation to four decimal places. 67. ex = 4.304 Problem 64E: For Problems 6570, solve each equation to four decimal places. 68. ex = 0.3059 Problem 65E: For Problems 6570, solve each equation to four decimal places. 69. 1.00512t = 3 Problem 66E: For Problems 6570, solve each equation to four decimal places. 70. 1.024t = 2 Problem 67E Problem 68E: Graph Problems 7178 using a calculator and point-by-point plotting. Indicate increasing and... Problem 69E: Graph Problems 7178 using a calculator and point-by-point plotting. Indicate increasing and... Problem 70E Problem 71E: Graph Problems 7178 using a calculator and point-by-point plotting. Indicate increasing and... Problem 72E Problem 73E: Graph Problems 7178 using a calculator and point-by-point plotting. Indicate increasing and... Problem 74E: Graph Problems 7178 using a calculator and point-by-point plotting. Indicate increasing and... Problem 75E: Explain why the logarithm of 1 for any permissible base is 0. Problem 76E Problem 77E: Let p(x) = ln x, q(x)=x, and r(x) = x. Use a graphing calculator to draw graphs of all three... Problem 78E: Let p(x) = log x, q(x)=x3, and r(x) = x. Use a graphing calculator to draw graphs of all three... Problem 79E: Doubling time. In its first 10 years the Gabelli Growth Fund produced an average annual return of... Problem 80E: Doubling time. In its first 10 years the Janus Flexible Income Fund produced an average annual... Problem 81E: Investing. How many years (to two decimal places) will it take 1,000 to grow to 1,800 if it is... Problem 82E: Investing. How many years (to two decimal places) will it take 5,000 to grow to 7,500 if it is... Problem 83E: Continuous compound interest. How many years (to two decimal places) will it take an investment of... Problem 84E: Continuous compound interest. How many years (to two decimal places) will it take an investment of... Problem 85E Problem 86E Problem 87E: Sound intensity: decibels. Because of the extraordinary range of sensitivity of the human ear (a... Problem 88E Problem 89E Problem 90E Problem 91E Problem 92E: Archaeology: carbon-14 dating. The radioactive carbon-14 (14C) in an organism at the time of its... format_list_bulleted