Precalculus

Answers Section 4.5 A-2557.59.10f 1 (x) x 10x31000f(x) = log(1000x)-1-1Domain: (0, )61. 10-2554321–2–3–4–5y–5 –4 –3 –2 –1 1 2 3 4 5f –1 (x) = 10x1000-2Domain: (1, )63. Approximately 49.7 minutes 65. Approximately 13.4 hours67. Approximately 20.4 decibels 69. 100 decibels71. Approximately 3.55 73. Approximately 4.575. 25 times77. a. 60 wpm in approximately 4.6 weeks; 80 wpm in approximately8 weeksb. The time gets larger without bound; noc. 20510x11. ln x 3 y 413. ln 15. log 17. 3 x z64z(x z) 2319. x 27 21. x 2 23. x 253 25.x 027. x 1 329. x 2 31. x 6 1 33. x 9535. x 1 37. No solution 39. x 999 41. All43. x e e ln 16ln 0.34145. 47.ln 3 2.52372 ln 12 0.4329649.ln 1051. 0.16, 3.15 53. 0.04, 1.50ln 2.0114755. 11.42, 2.97, 0.59 57. 10,000 times more intense59. 30 decibels 61. Approximately 586.8 tons63. Approximately 177.8 times more energy 65. False67. True 69. True 71. TrueSection 4.4, page 3421. x 4 3. x 1log 105. x log 7 1.18329log 11log 367. x 9. x log 18 2.79758log 3 2.18266 5111. x ln 213. x 1 ln 2 2.25889 2(1 ln ) 3.4547115. x 1317. t log 1.06 118.5495919. x 0.69, x 1.10 21. x 0.5723. x 4.48, x 2.11,x 0.3525. Approximately 10.2 years 27. r 5.78%29. February 2008 31. February 206133. Approximately 237.63; the year 201735. At approximately 6:33 A.M. on July 7, 200337. Approximately 122,269 39. Approximately 11,520 years41. Approximately 5.2 years 43. True 45. FalseSection 4.5, page 3551. a.Rabbits6050403020101 2 3 4 5 6Monthln x 3x 2x 1532-10110-2Domain: [0, 100)79. True 81. False 83. TrueSection 4.3, page 3301. 2lnx lny 3. 3log 5 x 4log 5 y 3log 5 z15. 1 ln7 3lnx 7. 9.4 log x 1 log y log z2log x y 2b.Rabbits6050403020101 2 3 4 5 6Month