

1. 
Evaluate . 


A. 
4 
B. 
3 


C. 
2 
D. 
8 


Hint 


2. 
Solve . 


A. 
1728 
B. 
5 


C. 
25 
D. 
144 


Hint 


3. 
What is the yintercept of the graph of y = 2^{x} + 5? 


A. 
(0, 1) 
B. 
(0, 5) 


C. 
(0, 6) 
D. 
(0, 32) 


Hint 


4. 
The number e is _____. 


A. 
irrational and approximately 3.142 


B. 
rational and approximately 2.718 


C. 
irrational and approximately 2.718 


D. 
rational and approximately 3.142 


Hint 


5. 
Write the equation in logarithmic form. 


A. 

B. 



C. 

D. 



Hint 


6. 
Given that log 5 = 0.6990, evaluate log 5000. 


A. 
3.6990 
B. 
2.6990 


C. 
4.6990 
D. 
5.6990 


Hint 


7. 
Convert log_{5} 145 to a natural logarithm. 


A. 

B. 
ln 5  ln 145 


C. 

D. 
ln 145  ln 5 


Hint 


8. 
Solve 9.4 = 12.5 ln x. 


A. 
0.2625 
B. 
0.5219 


C. 
0.4714 
D. 
0.3464 


Hint 


9. 
Which inequality represents the graph shown? 





A. 
y 2x  3 
B. 
y 2^{x}  3 


C. 
y > 2^{x} + 3 
D. 
y < 2^{x} + 3 


Hint 


10. 
Which of the following equations models exponential growth in terms of e? 


A. 
y = (10^{6}) e^{.0223t} 
B. 
y = (10) e^{2.74t} 


C. 
y = (10^{8})e^{.054t} 
D. 
y = (10^{8}) e^{4.6t} 


Hint 


11. 
Evaluate the expression 


A. 

B. 
3 


C. 

D. 
3 


Hint 


12. 
Find the value of log_{9}219 using the change of base formula. 


A. 
1.3862 
B. 
3.1021 


C. 
2.4527 
D. 
0.2601 


Hint 


13. 
If the population of a city can be modeled by the equation y = 12,500(1.03) ^{x}, where x is the number of years since 1965, what is the estimated population in 2006? 


A. 
38, 611 
B. 
41,999 


C. 
45,100 
D. 
549,464 


Hint 


14. 
The number of bacteria in a culture can be modeled by the exponential function N = 6.5828(1.1769)^{t}, where t is the number of hours. What will the number of bacteria be in 19 hours? Round to nearest whole number. 


A. 
203 
B. 
177 


C. 
145 
D. 
121 


Hint 

