Expanding Logarithmic Expressions In Exercises Use The Properties Of Logarithms To Expand The Expression As A Sum, Difference, And/Or Constant Multiple Of Logarithms. (Assume All Variables Are Positive.) Log_6 Ab^3c^2 Log_4 Xy^6 Z^4 Ln Cube Squareroot X/Y Ln Squareroot X^2/Y^3 Ln X^2 - 1/X63, X > 1 Ln X/Square Squareroot X^2 + 1 Ln X^4 Squareroot

 

 

 

 

Expanding Logarithmic Expressions In Exercises 47-64, use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.) 57. log abc 59. In 58. log, xyz 60. In. x 61. In X > 1 62. In xy 63. In- 64. log Condensing Logarithmic Expressions In Exercises 69-84, condense the expression to the logarithm of a single quantity. 79. In(x 2) In(x+2) 80. 3 In x + 2 Iny - 4 ln z 81. Inx 2[In(x+2)+ In(x-2)] 82. 4[In z + In(z+5)] - 2 In(z - 5) 83. [2 In(x+3)+ Inx - In(x-1)]. 84. 2[Inx In(x + 1) - In(x-1)] Using Properties to Evaluate Logarithms In Exercises 93-106, find the exact value of the logarithm without using a calculator. If this is not possible, state the reason. 99. logs 75 log, 3 101. In e-In e 102. In e6-2 In e 100. log, 2+ log, 32 103. 2 In e4 104. In e4.5 1 105. In Te