Answer Happy

teger or fraction without using a calculator. 1. Jog, 8 2. log, 3. Jog, I 4. log, 3 5. log, 27 6. log, 4 7. log1/2 2 8. log(0.1) 9.) logo (0.001) 12. log, √5 10. log(0.01) 1 (13) log, √8 (15, logio • (TO) 16. log(n) (10-1/2) 17. Use the approximation log10 4 0.602 to estimate the following without using a calculator: (a) logo 40 (b) log10 0.4 (c) logo 0.25 (d) log₁0 2 11, log, 7 14. log(3√3) 18. Use the approximation logo 0.5 -0.301 to estimate the following without using a calculator: (a) logo 50 (b) logo 25 (c) log10 20 (d) log10 8 100 In Exercises 19-24, use a calculator to find x correct to at least seven decimal places without using the equation solver or trace function. Then use the equation solver to check your answer. 19. log10 21. logo. = 1.463 X 100. 10 log₂9 log₂ √5 log, 10 log, 75 X = 0.418 2. log10 3. 100 204.5 4. log10 √x = 1.233 In Exercises 25-36, use the approximations log, 3 1.585 and log, 5 2.322 to approximate the given loga- rithm. Do not use a calculator. 26. log₁3 29, log, 6 32. log, 24 35. log, 15 = 0.103 20. 10=214.11 27. log2 30. log, 0.75 33. log, 30 36. log210 numbers with log, A = b. Write the given logarithm as a function of b.. 37. log, (94) 38. log, (39, log, (√3A) (A) 41. log, A (Hint: Use the relation log, A = v9" = A.) 42. log₁ A 43. log/ A 44. log, 3 45. log 3 46. In August 1999, a severe earthquake in Turkey registered 7.4 on the Richter scale. In September of that same year, an even more severe one in Taiwan registered 7.6. How much more severe was the earthquake in Taiwan in terms. of the amplitude of its seismic wave? 40. log, 47. If an earthquake registers 6.2 on the Richter scale, what will an earthquake whose seismic amplitude is four times larger register? 48. If an earthquake has a seismic amplitude 5,000 times as large as the minimal amplitude of the reference earth- quake, what will it register on the Richter scale? 49. A stereo headset whose volume is set at 6 has a sound. level of 115 decibels. How much bigger is the amplitude of its sound wave than that of normal conversation, which registers 60 decibels? 50. A company that manufactures back-up alarm signals fo trucks has models whose sound levels range from 87 te 107 decibels. How much more intense is the sound of th loudest model than that of the softest? 51. The sound of a leaf blower is 300 times stronger at the or erator's ear than at a distance of 50 feet. If it registers 7 decibels at 50 feet, what does it register at the operator ear? 52. The pH value of beer is approximately 4, and that of vin gar is approximately 3. Which is more acidic and he much greater is the concentration of hydrogen ions?