1. Find the inverse of the power function
y = 4x .
2. Solve y = 3
3. Find the value of the root 81
13. 4log x - 2log
14. log + log - log
Expand each logarithm.
4. Find the value of the root 125
15. log x
5. Solve each equation x + 2 = 5
16. log
6. Determine the zeros and their
multiplicity of y = (x + 1)(x + 7)
7. Solve the polynomial equation
x - 4 + 3x = 0
8. Use synthetic division to solve (3x 10x + 8x – 15) (x – 2)
9. Write 5 = 125 in logarithmic form.
10. Write log 1 = 0 in exponential form.
Use the properties of logarithms to evaluate each
expression.
17. log
18. log
Solve each equation.
19. x
20. 2 + 3
Write each logarithmic expression as a single
logarithm.
11. log 3 + log 12
12. log 35 - log 7
21. x
Use your calculator to evaluate each expression.
22. log 4x = -2
23. log 2x +3 = -4
Solve each equation.
complete each table using the given equation.
page
24. e
25. ln x + ln 2 = 8
Each point is from an inverse variation. Find
each constant of variation.
Sketch the graph by finding the vertical and
horizontal asymptotes.
33. y =
26. (-3, 7)
27.
Classify each function as continuous or
discontinuous. If discontinuous, give the
value(s) of x .
34. y =
35. y =
28. y =
29. y =
30. y =
Determine the zeros.
31. y = (x + 2)(x – 7)(x – 4)
32. y = (x - 2)(x – 2)(x – 2)
36. The sales for a computer company can be
modeled by a linear function. When it sells
40 computers, the company earns $80,000.
For 100 computers, the company earns
$200,000. How much will the company
earn if it sells 125 computers?
37. The population of the United States in
1994 was about 260 million, with an
average annual rate of increase of about
0.7%. What is the growth factor of the
United States population.
38. On their federal income tax returns, many
self-employed individuals can depreciate
the value of the business equipment they
purchase. Suppose a computer valued at
$7,500 depreciates at a rate of 9.3% per
year. After how many years is the value of
the computer less than $1,500?
39. How long would it take to double your
principal at an interest rate of 6%
compounded continuously?
Add or subtract. Simplify where possible.
52.
Solve using calculators.
40. 9!
41. 5!2!
42.
43.
44.
45.
46.
47. e
48. ln 4 – ln x = 10
49. 3 ln x + ln 5 = 7
50. e
Simplify each rational expression. Show all
work, final answer must be put on answer
sheet.
51.
solve using the Quadratic Formula.
x - 2x – 1 = -3
4x - 3x -5 = 0