Q8 - f ( x ) = ab x satisfying that f (0) = 1 and f (2) = 9...

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Problem 1 2 3 4 5 Bonus: Total: Points 20 20 20 20 20 10 100+10 Scores MAP 103: Proficiency Algebra, Quiz #8, Fall 2009 Name Id# Dec. 8, 2009 1. Determine if the following statements are true or false. You do not need to justify your answer. (a) T | F : e x · e x = e 2 x (b) T | F : f ( x ) = 2 x +1 + 1 has translated intercept (1 , 2) (c) T | F : ln( a ) + ln( b ) = ln( a + b ) for every a,b > 0 (d) T | F : log 2 1 + log 2 2 + log 2 2 2 = 3 (e) T | F : log(4) + ln( e ) = 2 log 2 + 1 2. Express in simplest form: log 5 5 r x 5 y 25 z 125 w ! . 3. Solve for x in each of the following equations. (a) e 4 x - 1 = 0 (b) log 4 ( x 2 + 3 x ) - log 4 ( x + 5) = 1 (c) 2 3 x = 10 (d) 9 x +1 = 81 1 - 3 x 4. (a) Find the equation for an exponential function
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Unformatted text preview: f ( x ) = ab x satisfying that f (0) = 1 and f (2) = 9 . Using the equation found, nd f (4) . (b) After 28 years 10 ounces of Strontium-90 will have decayed to half of its original amount. What is the decay rate in the decay equation A = A e kt ? 5. Let f ( x ) = 1 2 ln( 1 2-x ) . Find an equation for the inverse of f ( x ) and state the domain of the inverse. Bonus (+10 Points): Solve for x : 3 ln x-ln x = 1 2 ln 2...
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