Algebra 2
Review 8.1-8.3
Name __________________________________
Without graphing, determine whether each equation represents exponential growth or exponential decay. What percent of
increase or decrease does the function model?
1. y = 0.5(1.67)x
2. y = 1.023(0.98)x
Write an exponential equation y = abx whose graph passes through the given points.
3. (1, 10), (2, 25)
4. (2, 6), (4, 54)
What percent of increase or decrease does the function model?
5. y = 0.1(1.7)x
6. y = 7.3(0.8)x
7. Mr. Anderson put $1000 into an account that earns 4.5% annual interest. The interest is compounded annually and there are
no withdrawals. How much money will be in the account at the end of 30 years?
8.
A manufacturer bought a new rolling press for $48,000. It has depreciated in value at an annual rate of 15%. What is the
value 5 years after purchase?
Evaluate each expression to four decimal places.
9. e3
11. e
10. e1/4
5
12. You place $900 in an investment account that earns 6% interest compounded continuously. Find the balance after 5 years.
13. I-123 is used in thyroid scans. It has a half-life of 13.2 hours. Write the exponential decay function for a 45-mg sample.
Find the amount remaining after 5 hours.
Write each equation in exponential form.
14. log4256 = 4
15. log8
1
 2
64
16. log17289 = 2
17. log 1000 = 3
20. 29 = 512
21. 6-3 =
Write each equation in logarithmic form.
18. 92 = 81
19. 10-3 = 0.001
1
216
Evaluate each logarithm. SHOW ALL WORK AS WE LEARNED IN CLASS!!!
22. log8 32
23. log 25 125
24. log432
25.
log 9
1
27