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270 Chapter 3 Exponential and Logarithmic Functions
Chapter 3
Practice Test
1. Solve for x: x 35 8 2. Solve for x: 3 x1 1 81
3. Graph fx 2 x by hand.
4. Graph gx e x 1 by hand.
5. If $5000 is invested at 9% interest, find the amount after three years if the interest is compounded
(a) monthly. (b) quarterly. (c) continuously.
6. Write the equation in logarithmic form: 7 2 1 49
7. Solve for x: x 4 log 2 1 64
8. Given log evaluate log 4 b 2 0.3562 and log b 5 0.8271,
b
825.
9. Write 5 ln x 1 2 ln y 6 ln z as a single logarithm.
10. Using your calculator and the change of base formula, evaluate log 9 28.
11. Use your calculator to solve for N: log 10 N 0.6646
12. Graph y log 4 x by hand.
13. Determine the domain of fx log 3 x 2 9.
14. Graph y lnx 2 by hand.
15. True or false: ln x lnx y
ln y
16. Solve for x: 5 x 41
17. Solve for x: x x 2 log 5 1 25
18. Solve for x: log 2 x log 2 x 3 2
19. Solve for x: e x e x
4
3
20. Six thousand dollars is deposited into a fund at an annual percentage rate of 13%.
Find the time required for the investment to double if the interest is compounded continuously.
21. Use a graphing utility to find the points of intersection of the graphs of y ln3x and y e x 4.
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22. Use a graphing utility to find the power model y ax b for the data 1, 1, 2, 5, 3, 8, and 4, 17.