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)