Exponential and Logarithmic Functions224Chapter 3OCondensing a Logarithmic ExpressionIn Exercises 61-76, condense the expressionto the logarithm of a single quantity.ON83.62. logs 8 - log, t61. In 3 + In x63. log,(z – 2)64. -4 In 3x66. 2 log, x + 4 log2 y65. log, 5x – 4 log; x67. log x + 2 log(x + 1)84.68. 2 In 8 – 5 In(z - 4)69.) log x -2 log y + 3 log z70. 3 log, x + i log, y - 4 log; z71. 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(x² – 1)]74. 2[3 In x -75. [logs y + 2 log3(y + 4)] – log3(y – 1)76. [log,(x + 1) + 2 log,(x – 1)] + 6 log4 x85.In(x + 1) – In(x – 1)]86.Comparing Logarithmic Quantities In Exercises77 and 78, determine which (if any) of the logarithmicexpressions are equal. Justify your answer.log, 3277.32log2log, 32 - log, 44'log, 4'78. log,/70, log, 35, + log, V10•• Sound IntensityIn Exercises 79-82, use the following information.The relationshipbetween the numberof decibels B and theintensity of a sound

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How do you answer 65, 67, and 69?

Exponential and Logarithmic Functions
224
Chapter 3
OCondensing a Logarithmic Expression
In Exercises 61-76, condense the expression
to the logarithm of a single quantity.
ON
83.
62. logs 8 - log, t
61. In 3 + In x
63. log,(z – 2)
64. -4 In 3x
66. 2 log, x + 4 log2 y
65. log, 5x – 4 log; x
67. log x + 2 log(x + 1)
84.
68. 2 In 8 – 5 In(z - 4)
69.) log x -
2 log y + 3 log z
70. 3 log, x + i 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(x² – 1)]
74. 2[3 In x -
75. [logs y + 2 log3(y + 4)] – log3(y – 1)
76. [log,(x + 1) + 2 log,(x – 1)] + 6 log4 x
85.
In(x + 1) – In(x – 1)]
86.
Comparing Logarithmic Quantities In Exercises
77 and 78, determine which (if any) of the logarithmic
expressions are equal. Justify your answer.
log, 32
77.
32
log2
log, 32 - log, 4
4'
log, 4'
78. log,/70, log, 35, + log
, V10
•• Sound Intensity
In Exercises 79-82, use the following information.
The relationship
between the number
of decibels B and the
intensity of a sound
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Exponential and Logarithmic Functions 224 Chapter 3 OCondensing a Logarithmic Expression In Exercises 61-76, condense the expression to the logarithm of a single quantity. ON 83. 62. logs 8 - log, t 61. In 3 + In x 63. log,(z – 2) 64. -4 In 3x 66. 2 log, x + 4 log2 y 65. log, 5x – 4 log; x 67. log x + 2 log(x + 1) 84. 68. 2 In 8 – 5 In(z - 4) 69.) log x - 2 log y + 3 log z 70. 3 log, x + i 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(x² – 1)] 74. 2[3 In x - 75. [logs y + 2 log3(y + 4)] – log3(y – 1) 76. [log,(x + 1) + 2 log,(x – 1)] + 6 log4 x 85. In(x + 1) – In(x – 1)] 86. Comparing Logarithmic Quantities In Exercises 77 and 78, determine which (if any) of the logarithmic expressions are equal. Justify your answer. log, 32 77. 32 log2 log, 32 - log, 4 4' log, 4' 78. log,/70, log, 35, + log , V10 •• Sound Intensity In Exercises 79-82, use the following information. The relationship between the number of decibels B and the intensity of a sound

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