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Review3Solns - Chapters 6 8 Review for Test 3 Name Practice...

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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.
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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 0 (1 + r ) t (b) compounding n times Solution: P ( t ) = P 0 1 + r n nt (c) compounding continuously Solution: P ( t ) = P 0 e rt 9. Identify the annual factor for each part in Question 5.
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