Review3Solns - Chapters 6 & 8 Review for Test 3...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

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.

Page1 / 8

Review3Solns - Chapters 6 & 8 Review for Test 3...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online