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# worksheet2 - Problem#1 b b b b b b b b Problem#2 x y z...

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Math 116 FS 2008. Worksheet for Exam 2. Problem #1. Given log 11 1.3383 b = , log 55 2.2365 b = . Use the properties of the logarithms and given INFO to fill out the following table log 5 8 b = log 5 11 b = 3 log 5 b = log 605 b = 6 log 11 b = 1 log 55 b = Problem #2. Expand the following expression as much as possible. ( 29 ( 29 3 2 1 ln 1 x y z + - Problem # 3. Simplify the following expression using properties of logarithms. Your answer should not contain logarithms . a) b) 1 2 3log log3 10 x x - 2 2log 3log a a x y xy a +

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Math 116 FS 2008. Worksheet for Exam 2. c) 3 4log 9 x d) 2 log 8 x e) 2 log 2 x Problem # 4. Express each of the following expressions as a single logarithm whose coefficient is equal to 1. a) 3 3 1 log log 4 x y + b) 11 121 3log log x y - c) 4 16 2log log x y + d) [ ] 1 1 ln( 3) ln 3ln( 1) 2 5 x x x + - + + Problem # 5. Use the definition of logarithms to solve the following equations. 2 2 a)log (log ( 265)) 3 x + = b) ln(ln( 3)) 18 x + = c) log(log( 5)) 0 x - = d) ( 29 3 log log 700 1 x - = 2
Math 116 FS 2008. Worksheet for Exam 2.

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