OptionalQuiz_Fall2009 - MAP 103 Proficiency Algebra...

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Intermediate Algebra
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Chapter 9 / Exercise 9
Intermediate Algebra
Mckeague
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MAP 103: Proficiency Algebra, Optional Quiz, Fall 2009 Answer 5 questions at 20 points each or 10 questions at 20 points each. Show all work. 1. Solve for x : 4 x + 7 · 4 x = 8 . 2. Let f ( x ) = ln( x + 1) , g ( x ) = ln x, and h (ln 2) = e 2 . Find f g h (ln 2) . 3. Solve for x and check: log 4 x + log 4 x 3 = 2 . 4. Let f ( x ) = 2 ln(2 x - 1) . Sketch a graph for f ( x ) and state the domain. 5. Write the equation of an exponential function f ( x ) = ab x such that f (0) = 4 and f (2) = 72 . Using f ( x ) , find f (4) . 6. Express y as a function of x : log 3 y = 2 + 4 log 3 (2 x ) . 7. Find in exact value the expression: 5 2 log 2 32 . 8. Solve for x : 2 3 x = 16 2 . 9. Solve for x : e 5 x - e 3 x - e 2 x + 1 = 0 . 10. Express in simplest form: log 3 4 s x 9 y 81 z 3 w , where x, y, z, w > 0 . 11. Evaluate: ln(
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Intermediate Algebra
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Chapter 9 / Exercise 9
Intermediate Algebra
Mckeague
Expert Verified

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