1.
Simplify
A.
15
B.
C.
3
15
D.
Hint
2.
Evaluate
.
A.
log
25
(
x
- 3)
B.
5 log
5
(
x
- 3)
C.
log (
x
- 3)
D.
x
- 3
Hint
3.
Solve log
3
(
x
+ 4) - log
3
(
x
- 2) = 2 log
3
2.
A.
6
B.
9
C.
4
D.
8
Hint
4.
Find log 47.2 to four decimal places.
A.
1.6739
B.
3.8544
C.
0.6739
D.
2.0791
Hint
5.
Solve 3
2
x
-1
= 25.6 to three decimal places.
A.
0.739
B.
1.204
C.
4.767
D.
1.976
Hint
6.
The number of bacteria in a culture grew exponentially. When the experiment began, there were 100,000. Ten minutes later, that number grew to 220,000. Which of the following equations could be used to model this situation?
A.
B.
C.
D.
Hint
7.
Solve log
3
x
< 4. Check your solution.
A.
0 <
x
< 64
B.
x
< 81
C.
x
< 64
D.
0 <
x
< 81
Hint
8.
Use the fact that log
5
8
1.29 and log
5
10
1.43 to approximate the value of log
5
80.
A.
16
B.
2.72
C.
1.11
D.
1.84
Hint
9.
Solve 4 – 2
e
4
x
= 1.
A.
0.10
B.
–0.41
C.
0.41
D.
–0.10
Hint
10.
Shrinivas deposited $1300 in an account which pays 8% annual interest, compounded continuously. How long will it take to reach $3500?
A.
9.2 years
B.
12.4 years
C.
176 years
D.
1.2 years
Hint
11.
A Mickey Mantle rookie card appreciates in value 2% every year. If it is worth $35,000 in 2000, when will it be worth $100,000?
A.
2093
B.
2053
C.
2065
D.
2043
Hint
12.
Suppose a new car loses value at 10% per year for the first 5 years. When should the owner sell it if they want to receive 75% of what they paid for it?
A.
after 2.73 years
B.
after 2.5 years
C.
after 3 years
D.
after 2 years
Hint