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Unformatted text preview: Chapters 6 & 8 Review for Test 3 Name: Practice these problems. Study your quizzes, worksheets, examples done in class, and WileyPlus homework. 1. State the rules of logarithms and inverse properties for each case: (a) common logarithm (b) natural logarithm (c) logarithm with base b Solution: Done in class. 2. Expand. (a) ln 2 xy 3 z 4 Solution: ln(2) + ln( x ) + ln( y )- ln(3)- 4 ln( z ) (b) log 5( x + 3) x- 2 Solution: log(5) + log( x + 3)- 1 2 log( x- 2) 3. Contract and simplify. (a) log( x ) + log( x 2 )- log( yx )- 6 log( y ) Solution: log x 2 y 7 (b) ln( p- 1) + ln( r ) + ln(4 p )- 3 ln p r Solution: ln 4( p- 1) r 4 p 2 4. Complete Solving for x worksheet. Chapters 6 & 8 Review Page 2 Solution: Done in class. 5. Sketch the function y = ln( x + 2)- 3. Solution: Done in class. 6. What effect does p have on the graph of f ( x ) = log( x p )? Be specific. Solution: f ( x ) = log( x p ) = p log( x ) If 0 < p < 1, p shrinks this function and if p > 1, p stretches this function. 7. Show graphically that y = 10 x and y = log( x ) are inverse functions. Solution: Done in class. 8. Write the general equations for: (a) compounding annually Solution: P ( t ) = P (1 + r ) t (b) compounding n times Solution: P ( t ) = P 1 + r n nt (c) compounding continuously Solution: P ( t ) = P e rt 9. Identify the annual factor for each part in Question 5....
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This note was uploaded on 06/13/2011 for the course MATH 111 taught by Professor Hitchcock during the Fall '08 term at South Carolina.
- Fall '08