{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ExamFReview

# ExamFReview - MAC 1105 Some Final Review Questions Summer...

This preview shows pages 1–2. Sign up to view the full content.

MAC 1105: Some Final Review Questions, Summer 2010 Exam covers test 1 - 3 material, plus sections 4.3 - 5.6, 7.1 1. True or False: (a) 3 p x 3 + 27 = x + 3 (b) ln( 5 p e 2 ) = 5 2 (c) 1 2 is a solution to the equation log 25 1 5 = x . (d) The equation 1 x 1 y = 1 x y is true for all values of x and y . 2. Evaluate the following: a) 64 2 = 3 b) 4 p ( 3) 4 c) 2 0 + e ln 4 c) log 3 81 d) log 2 1 4 + log 4 4 3 3. Write in exponential form: log b 4 = x 4. Find each solution of the following equations: (a) x 3 + x 2 4 x = 4 (b) p 2 x + 3 = p x + 2 + 2 (c) 9 x +15 = 27 x (d) e x 2 = ( e x ) 2 1 e 3 5. Find each solution (real or complex) of the following: a) 2 x 2 + 2 x + 3 = 0 b) 3 x x 2 = 4 8 x c) 2 x 2 x 1 + 1 x = 1 2 x 1 6. Sketch the graph of the following. Find the domain and range of each. a) y = 2 x +1 b) f ( x ) = e x 2 c) g ( x ) = log 2 ( x 1) + 3 7. Find the inverse of f ( x ) = e x +3 . Sketch f and its inverse on the same graph. 8. Find the domain of the function f ( x ) = ln x 4 4 x 2 x + 3 . 9. Solve each equation: a) log 3 ( x 2 + x + 3) = 2 b) e 2 x +5 = 8 10. Write as the sum or di erence of logarithms: ln x p 2 x + 1 ( x 4) 4 11. Write as a single logarithm: a) 2 3 ln 8

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}