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# Review3 - 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 2. Expand. (a) ln 2 xy 3 z 4 (b) log 5( x + 3) x - 2 3. Contract and simplify. (a) log( x ) + log( x 2 ) - log( yx ) - 6 log( y ) (b) ln( p - 1) + ln( r ) + ln(4 p ) - 3 ln p r 4. Complete Solving for x worksheet. 5. Sketch the function y = ln( x + 2) - 3. 6. What effect does p have on the graph of f ( x ) = log( x p )? Be specific. 7. Show graphically that y = 10 x and y = log( x ) are inverse functions. 8. Write the general equations for: (a) compounding annually (b) compounding n times (c) compounding continuously 9. Identify the annual factor for each part in Question 5. 10. Complete Ch.5/Ch.6 worksheet. 11. State the complete definition for rewriting f ( t ) = Ca t in terms of f ( t ) = Ce k t . 12. Convert from e k to a . (a) y = 3 . 56 · e - 5 t (b) y = e t (c) y = - 2 · e 3 t/ 2

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Chapters 6 & 8 Review Page 2
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Review3 - Chapters 6 8 Review for Test 3 Name Practice...

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