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Unformatted text preview: = e . 12 . So we have that r = a1 = e . 121 = 0 . 1275 So we see that the growth rate is 12 . 75%. 3. Expand the following expression fully using the rules of logarithms, log ( √5 a + 4 ) . Math 111I Sec 001 Quiz 8 Solutions. The solution is given by the following computation log ( √5 a + 4 ) = log ± (5 a + 4) 1 / 2 ² = 1 2 log(5 a + 4) . Now we cannot proceed any further because we have no rule for addition inside the parentheses for the log function. 4. Expand the following expression fully using the rules of logarithms, ln ± (5 a + 6) √ 2 a + 6 ² Solutions. The solution is given by the following computation, ln ± (5 a + 6) √ 2 a + 6 ² = ln(5 a + 6) + ln ± √ 2 a + 6 ² = ln(5 a + 6) + ln ± (2 a + 6) 1 / 2 ² = ln(5 a + 6) + 1 2 ln(2 a + 6) . And again we cannot continue because we have no rules for logs that deal with addition inside the parentheses....
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This note was uploaded on 02/16/2011 for the course MATH 111 taught by Professor Hitchcock during the Fall '08 term at South Carolina.
 Fall '08
 HITCHCOCK
 Math

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