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circled questions (14-20) even #'s (38-42) even #'s (48,52,58,64,70,72,76,80) please help me thank you 5. 10g5 X 8. log1/3 X 7. 1081/5 X Simplifying a

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circled questions (14-20) even #'s (38-42) even #'s (48,52,58,64,70,72,76,80) please help me thank you

image text in transcribed
5. 10g5 X 8. log1/3 X 7. 1081/5 X Simplifying a Logarithm In Exercises 37-44, use the 10. loga properties of logarithms to rewrite and simplify the 9. 10%2 10 12. log7.1 X logarithmic expression. 11, 1082.6 X 37. log, 8 39. log, 42 . 34 38. log, 243 Changing the Base In Exercises 13-20, evaluate the 41. In 5e6 40, log, 92 - 24 logarithm using the change-of-base formula. Round (42.) In 8e3 your result to three decimal places. 43. In - 14, log7 4 44. In 7 /13. log3 7 15. 1091/2 4 16, 10g1/8 64 Using Properties of Logarithms In Exercises 45 and 46, 17. logs 0.9 (18. log, 0.045 use the properties of logarithms to verify the equation. /19. 10g15 1460 20. 10g20 175 45. 10g5 250 = -3 - logs 2 46. - In 24 = - (3 In 2 + In 3) Using Properties of Logarithms In Exercises 21-24, rewrite the expression in terms of In 4 and In 5. Expanding Logarithmic Expressions In Exercises 47-64, use the properties of logarithms to expand the /21. In 20 22. In 500 expression as a sum, difference, and/or constant multiple 23. In 24. In veolodave of logarithms. (Assume all variables are positive.) 48. 10g 10 10z Using Properties to Evaluate Logarithms In Exercises 47. log10 5x 25-28, approximate the logarithm using the properties 49. log 10 8 1 50. log10 7 of logarithms, given the values log, 2 ~ 0.3562, log, 3 = 0.5646, and log, 5 - 0.8271. Round your result 51. logg X4 52. 1086 2-3 to four decimal places. 53. In Vz 54. In t 25. log, 25 26. log,, 30 55. In xyz 56. In Z 16 27. log V3 28. logb 25 57. log ab3c2 58. Jog, xy6 24 Graphing a Logarithm In Exercises 29-36, use the 59. In 3 60. In change-of-base formula log x = (In x)/(Ina) and a X graphing utility to graph the function. x2 - 1 62. In 61. In x > 1 Vx2 + 1 29. f(x) = log, (x + 2) 30. f (x) = 10g 2 (x - 1) (x + 1 ) Jy 64. 1085 2 Condensing Logarithmic Expressions In Exercises 69-84, condense the expression to the logarithm of a single quantity. 69. In x + In 4 70. In y + In z 71. logaz - logy 72. logs 8 - logs t 73. 2 log, (x + 3) 74. } log7(z - 4) 75. - In(x2 + 4) 76, 2 In x + In(x + 1) 77. In x - 3 In(x + 1) 78. In x - 2 In(x + 2) 79. In(x - 2) - In(x + 2) 80 3 In x + 2 1ny - 4 In z

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