1.
Simplify
A.
B.
C.
x
4
D.
x
2
Hint
2.
Evaluate
A.
B.
9
C.
-3
D.
Hint
3.
Evaluate
.
A.
5 log
5
(
x
- 3)
B.
log
25
(
x
- 3)
C.
x
- 3
D.
log (
x
- 3)
Hint
4.
If
and
, find the approximate value of log
2
15.
A.
3.6802
B.
3.9069
C.
1.4649
D.
0.7369
Hint
5.
Solve log
4
3 + log
4
x
= log
4
18.
A.
54
B.
6
C.
12
D.
15
Hint
6.
Finance
If $500 is deposited in an account paying 5.25% interest compounded continuously, find the amount in the account after 3 years.
A.
$585.29
B.
$555.36
C.
$427.14
D.
$616.84
Hint
7.
Solve 4
x
= 22 to three decimal places.
A.
5.500
B.
3.414
C.
3.961
D.
2.230
Hint
8.
A.
1.648
B.
±1.022
C.
-2.266
D.
1.022
Hint
9.
Population
The population of Redville grew from 5432 in 1990 to 7116 in 2000. Assuming the population is growing exponentially, predict the population of Redville in 2005.
A.
about 7960
B.
about 8360
C.
about 8290
D.
about 8140
Hint
10.
Which of the following represents exponential decay?
A.
B.
C.
D.
Hint
11.
Evaluate ln
e
3 -4
x
.
A.
(3 – 4
x
)log
10
e
B.
e
3
–
e
4
x
C.
4
x
– 3
D.
3 – 4
x
Hint
12.
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.
2053
B.
2043
C.
2065
D.
2093
Hint