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Algebra 2 Semester 2 Practice Final Summer 13

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ID: A<br />

82. ANS:<br />

3.2459<br />

REF: 8-5 Exponential and Logarithmic Equations<br />

OBJ: 8-5.2 Solving Logarithmic Equations<br />

TOP: 8-5 Example 5<br />

KEY: exponential equation | Change of Base Formula<br />

83. ANS:<br />

ln 27c 3<br />

REF: 8-6 Natural Logarithms<br />

TOP: 8-6 Example 1<br />

84. ANS:<br />

0.02 and –0.02<br />

OBJ: 8-6.1 Natural Logarithms<br />

KEY: simplifying a natural logarithm | properties of logarithms<br />

REF: 7-1 Roots and Radical Expressions OBJ: 7-1.1 Roots and Radical Expressions<br />

TOP: 7-1 Example 1<br />

KEY: square root | real roots<br />

85. ANS:<br />

− 5 7<br />

REF: 7-1 Roots and Radical Expressions OBJ: 7-1.1 Roots and Radical Expressions<br />

TOP: 7-1 Example 2<br />

KEY: real roots<br />

86. ANS:<br />

2 3<br />

REF: 7-2 Multiplying and Dividing Radical Expressions OBJ: 7-2.1 Multiplying Radical Expressions<br />

TOP: 7-2 Example 1<br />

KEY: multiplying radical expressions | simplifying a radical expression<br />

87. ANS:<br />

x 7 − 49 x<br />

REF: 7-2 Multiplying and Dividing Radical Expressions OBJ: 7-2.1 Multiplying Radical Expressions<br />

TOP: 7-2 Example 3<br />

KEY: multiplying radical expressions | simplifying a radical expression<br />

88. ANS:<br />

3<br />

3 3<br />

REF: 7-2 Multiplying and Dividing Radical Expressions OBJ: 7-2.2 Dividing Radical Expressions<br />

TOP: 7-2 Example 4<br />

KEY: simplifying a radical expression | divide radical expressions | rationalize the denominator<br />

89. ANS:<br />

3x 8 5x<br />

REF: 7-2 Multiplying and Dividing Radical Expressions OBJ: 7-2.2 Dividing Radical Expressions<br />

TOP: 7-2 Example 4<br />

KEY: simplifying a radical expression | divide radical expressions | rationalize the denominator<br />

14

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