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Solving a Logarithmic Equation In Exercises 37-46, solve the logarithmic equation. 37. In x - In 5 = 0 38. In x - In 2
Solving a Logarithmic Equation In Exercises 37-46, solve the logarithmic equation. 37. In x - In 5 = 0 38. In x - In 2 = 0 39. In x = -9 40. In x = -14 41. log, 625 = 4 42, log, 25 = 2 DODOS .$8 43. loglox = -1 44. log10X = -7 45. In(2x - 1) = 5 46. In(3x + 5) = 8 Using Inverse Properties In Exercises 47-54, simplify the expression. 47. In exz getanolisupa 48. In e 2x - 1 on vice 49. eln x2 70 smudge jo01 70 50. eln(x2+ 2) bus 51. - 1 + In e2x 52. -4 + pln x4 53. 5 + pln(x2+ 1) 54) 3 - In(ex2+ 2)Solving a Logarithmic Equation In Exercises 91-112, solve the logarithmic equation algebraically. Round the result to three decimal places. Verify your answer using a graphing utility. 92. In x = -4 A S 91. In x = -3 93 In 4x = 2.1 94. In 2x = 1.5 W E 95. logs(3x + 2) = logs(6 - x) " yo wov ned A 96. log,(4 + x) = log,(2x - 1) ole mail ord et istV 97. - 2 + 2 In 3x = 17 98. 3 + 2 In x = 10 99 7 log(0.6x) = 12 100. 4 10g10(x - 6) = 11 101. log10(z - 3) = 2 102. 10810 *2 = 6 103. In Vx + 2 = 1 104. In Vx - 8 = 5 105. In(x + 1)2 = 2 106. In(x2 + 1) = 8 107. log, x - log,(x - 1) = 2 108. log3 x + 10g3(x - 8) = 2 109. In(x + 5) = In(x - 1) - In(x + 1)
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