Algebra II
Chapter 8 Exam – B
Name:________________
Date:_____________
Period:_______
A new car that sells for $22,400 depreciates 17% each year.
1. Write a function that models the value of the car.
1.____________(+2)
2. Find the value of the car after 4 years.
2.____________(+1)
3. Does this function represent growth or decay? State the percentage increase or decrease.
f ( x) 1.15(1.43) x
3.____________(+1)
_________________(+1)
4. Write an exponential function y ab x for a graph that includes the given points.
(3, 108), (5, 972)
4.____________(+3)
5. Graph the function. Make sure to have parent function table and final table. Clearly label at
least three points, the asymptote, domain, and range.(+5)
f ( x) 2(4) x 1
6. Graph the function. Make sure to have parent function table and final table. Clearly label at
least three points, the asymptote, domain, and range.(+5)
y log 3 ( x 5)
7. Write 16 2 256 as a logarithmic function
7.____________(+1)
8. Evaluate log 3 81
8.____________(+1)
Write as a single logarithm
9. 5 log x 2 log 7
10. 3 ln x 2 ln y 4 ln d
9.____________(+2)
10.____________(+3)
Expand the logarithm
( x 4 y) 2
11. ln
m
12. log
xy 3
p 2
11.____________(+2)
12.____________(+3)
Solve each equation. Round answers to three decimal places if needed.
13. log( 3x 4) 3
14. 2 log x log 8 6
13.____________(+2)
14.____________(+3)
15. 3 5 x 23
16. ln x 2 ln 7 8
15.____________(+2)
16.____________(+3)
17. log 3 x log 3 4 x 5
18. e 2 x 3 18
17.____________(+3)
18.____________(+2)
19. An initial deposit of $5,250 is now worth $13,491.75. The account earns 4.99% interest
and is compounded continuously. How long has the money been in the account?
19.____________(+3)
20. List two real-world applications in which logarithms are used.
20.________________________________________________ (+2)
BONUS QUESTIONS:
Why do lumberjacks make good musicians?
Expand the logarithm.
4 a 3 bc 7
21. ln 6
3
4
xy
21.________________________________________________ (+2)
Solve equation. Round answers to three decimal places if needed.
22. 2 log 3
5 x log 3 3 x 1
22.____________(+3)
0
