Hi there hoping a precalc tutor can help me with the highlighted questions, anything helps I'm so lost thank you!Problems: 23,25,27,35,37,49,53,63,65,67,71,77

Section 3.3 Properties of Logarithms 449 EXERCISE SET 3.3 Practice Exercises 69. log x + log(x2 - 1) - log 7 - log(x + 1) In Exercises 1-40, use properties of logarithms to expand each 70. log x + log(x2 - 4) - log 15 - log(x + 2) logarithmic expression as much as possible. Where possible, In Exercises 71-78, use common logarithms or natural logarithms evaluate logarithmic expressions without using a calculator. and a calculator to evaluate to four decimal places. 1. logs(7 . 3) 2. logs(13 - 7) 3. log7(7x) 71. logs 13 72. log6 17 73. log14 87.5 4. log,(9x) 5. log(1000x) 6. log(10,000x) 74. log16 57.2 75. logo.1 17 76. logo.3 19 7. log7 8. log, 9. log 100 77. log. 63 78. log., 400 In Exercises 79-82, use a graphing utility and the change-of-base 10. log 1000 11. log 12. logs 125 property to graph each function. 79. y = log3 X 80. y = log15X 13. In(5) 14. In 15. logb x3 81. y = log2(x + 2) 82. y = log3(x - 2) 16. logb x 17. log N-6 18. log M -8 Practice Plus 19. In Vx 20. InVx 21. log,(x y) In Exercises 83-88, let log, 2 = A and log, 3 = C. Write each 22. logo(xy3 ) 23. logA 64 24. logs Vx expression in terms of A and C. 25 83. logb 2 84. log, 6 85. log, 8 25. logo - 36 26. logs 64 86. log, 81 x + 1 27. log6 2 87. log 27 88. logby 16 In Exercises 89-102, determine whether each equation is true or 28. logo 29. log V 100x 30. In Vex false. Where possible, show work to support your conclusion. If Vry's the statement is false, make the necessary change(s) to produce a 31. log 32. log 33. logb 2 3 true statement. Vxy4 sxy 4 89. In e = 0 90. In 0 = e 34. logo - 3 x y 25 35. 10g5 \\ 25 36. 10g2\\ 16 91. log,(2x3) = 3 log,(2x) 92. In(83) = 3 In(2x) 93. x log 10* = x2 94. In(x + 1) = In x + In 1 [x3Vx2 + 1 37. In 38. In [x4 V/x2 + 3 95. In(5x) + In 1 = In(5x) 96. In x + In(2x) = In(3x) - ( x + 1 ) 4 (x + 3)5 log(x + 3) [100x3/ 5 - x 97. log(x + 3) - log(2x) = 39. log [10x2 V/ 1 - x log (2x) 7 (x + 1)2 40. log 3 ( x + 7 ) 2 98. log(x + 2) = log(x + 2) - log(x - 1) In Exercises 41-70, use properties of logarithms to condense each log(x - 1) logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic 99. logo 2 4 = logo(x - 1) - 1086(x2 + 4) expressions without using a calculator. 100. logo[4(x + 1)] = log, 4 + logo(x + 1) 41. log 5 + log 2 42. log 250 + log 4 43. In x + In 7 44. In x + In 3 101. log3 7 = log73 102. el = In x 45. log2 96 - log2 3 46. log3 405 - log3 5 47. log(2x + 5) - log x 48. log(3x + 7) - log x Application Exercises 49. log x + 3 log y 50. log x + 7 logy 103. The loudness level of a sound can be expressed by 51. Inx + In y 52. In x + Iny comparing the sound's intensity to the intensity of a sound 54. 5 logix + 6 logby barely audible to the human ear. The formula 53. 2 logo x + 3 logby 55. 5 In x - 2 In 56. 7 In x - 3 In } D = 10(log / - log 10) 57. 3 Inx - In y 58. 2 Inx - -In y describes the loudness level of a sound, D, in decibels, where 59. 4 In(x + 6) - 3 In x 60. 8 In(x + 9) - 4 In x I is the intensity of the sound, in watts per meter , and lo is 61. 3 Inx + 5 ly - 6 In z 62. 4 Inx + 7 ly - 3 In z the intensity of a sound barely audible to the human ear. 63. (log x + logy) 64. }(log4x - logAy) a. Express the formula so that the expression in parentheses is written as a single logarithm. 65. (logs x + logs y) - 2 logs(x + 1) b. Use the form of the formula from part (a) to answer this 66. (log4x - logA y) + 2 log4(x + 1) question: If a sound has an intensity 100 times the intensity 67. [2In(x + 5) - Inx - In(x2 - 4)] of a softer sound, how much larger on the decibel scale is 68. } [5 In(x + 6) - In x - In(x2 - 25)] the loudness level of the more intense sound