Download Chapter 7 Practice Test

Chapter 8 Practice Test
Name___________________
Identify each function as modeling either exponential growth or exponential decay, identify the % of increase or
decrease.
x
x
1. y  121.45
2. y  4.1e x
3. y  30.4
Write an exponential equation to model each situation. Find the value of each function after 5 years.
4. A home worth $150,000 appreciates 1% each year.
5. A $12,500 car depreciates 9% each year.
6. A baseball card worth $50 increases 3% each year.
Write each equation in logarithm form.
1
8
10. 6 2  36
11. 2 3 
Write each equation in exponential form.
13. log 2 64  6
14. log 0.00001= -5
Evaluate (NO calculators!).
1
16. log 9
17. log 25 5
81
12. 10 3  0.001
18. log 4 4
15. log 2 1  0
19. ln e8
Write each logarithm expression as a single logarithm (condense).
20. log 8  log 3
21. 4 ln x  ln 7
22. log 2 5  log 2 3
Expand each logarithm expression.
23. log 4 x 2 y 3
24. ln 2 x
 x
25. log  
3
2
Solve each equation.
26. 16 x  64
27. 9 x  27
29. log 3x  1
30. log 2 4x  5
31. ln  4 x  8  ln 3x  12
32. e 3 x  12
33. log 2 x  log 2  x  3  2
34. 4e x 1  64
35. 2 ln x  3 ln 2  5
36. 3 ln x  ln 5  7
37. 7 x  16
28. 5 x  33
Graph the following equations.
38. y  2
x 3
1
1
39. y   
3
x 1
2
40. y  3  log  x  2