1.
Simplify
A.
x
4
B.
x
2
C.
D.
Hint
2.
Solve 5
2
n
+3
< 25.
A.
n
> 1
B.
C.
n
< -1
D.
Hint
3.
Solve log
b
36 = 2
A.
-6
B.
-6, 6
C.
18
D.
6
Hint
4.
Solve log
2
(
x
+ 4) = log
2
(
x
2
+ 2).
A.
-1, 2
B.
2
C.
no solution
D.
0
Hint
5.
Solve 4
x
= 22 to three decimal places.
A.
5.500
B.
2.230
C.
3.961
D.
3.414
Hint
6.
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
7.
Given that log
8
10
1.11 and log
8
60
1.97, find log
8
6.
A.
3.08
B.
1.77
C.
1.16
D.
0.86
Hint
8.
Solve the equation 2 log
6
x
– log
6
5 = log
6
125.
A.
25
B.
–25
C.
312.5
D.
no solution
Hint
9.
Express log
6
15 in terms of common logarithms.
A.
B.
C.
D.
Hint
10.
Evaluate 4 +
e
ln9
.
A.
13
B.
4 +
e
3
C.
9 + ln 4
D.
9 +
e
4
Hint
11.
Solve 4 – 2
e
4
x
= 1.
A.
–0.10
B.
0.10
C.
–0.41
D.
0.41
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.
2065
B.
2053
C.
2043
D.
2093
Hint