Condensing a Logarithmic Expression In Exercises 61-76, condense the expression to the logarithm of a single quantity. 62. log, 8 - log, 64. -4 In 3x 61. In 3 + In x 63. log,(z - 2) 65. log, Sx - 4 log, x 66. 2 log, x+ 4 log, y 68. 2 In 8 - 5 In(z - 4) 67. log x+ 2 log(x + 1) 69. log x - 2 log y + 3 log z 70. 3 log, x + log, y - 4 log, z 71. In x - [In(x + 1) + In(x - 1)] 72. 4[In z + In(z + 5)] - 2 In(z - 5) 73. [2 In(x + 3) + In x - In(r - 1)] 74. 2(3 In x - In(x + 1) - In(x - 1)] 75. [log, y + 2 log,(y + 4)] - log,ly - 1) 76. [log,(x + 1) + 2 log,(r - 1)] + 6 log, x

Linear Algebra: A Modern Introduction
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Chapter6: Vector Spaces
Section6.7: Applications
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Condensing a Logarithmic Expression
In Exercises 61–76, condense the expression
to the logarithm of a single quantity.

Condensing a Logarithmic Expression
In Exercises 61-76, condense the expression
to the logarithm of a single quantity.
62. log, 8 - log,
64. -4 In 3x
61. In 3 + In x
63. log,(z - 2)
65. log, Sx - 4 log, x
66. 2 log, x+ 4 log, y
68. 2 In 8 - 5 In(z - 4)
67. log x+ 2 log(x + 1)
69. log x - 2 log y + 3 log z
70. 3 log, x + log, y - 4 log, z
71. In x - [In(x + 1) + In(x - 1)]
72. 4[In z + In(z + 5)] - 2 In(z - 5)
73. [2 In(x + 3) + In x - In(r - 1)]
74. 2(3 In x - In(x + 1) - In(x - 1)]
75. [log, y + 2 log,(y + 4)] - log,ly - 1)
76. [log,(x + 1) + 2 log,(r - 1)] + 6 log, x
Transcribed Image Text:Condensing a Logarithmic Expression In Exercises 61-76, condense the expression to the logarithm of a single quantity. 62. log, 8 - log, 64. -4 In 3x 61. In 3 + In x 63. log,(z - 2) 65. log, Sx - 4 log, x 66. 2 log, x+ 4 log, y 68. 2 In 8 - 5 In(z - 4) 67. log x+ 2 log(x + 1) 69. log x - 2 log y + 3 log z 70. 3 log, x + log, y - 4 log, z 71. In x - [In(x + 1) + In(x - 1)] 72. 4[In z + In(z + 5)] - 2 In(z - 5) 73. [2 In(x + 3) + In x - In(r - 1)] 74. 2(3 In x - In(x + 1) - In(x - 1)] 75. [log, y + 2 log,(y + 4)] - log,ly - 1) 76. [log,(x + 1) + 2 log,(r - 1)] + 6 log, x
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