1.
Simplify (18
q
3
r
)(2
q
r
4
).
A.
36
q
3
r
5
B.
36
q
4
r
5
C.
36
q
3
r
4
D.
36
q
r
Hint
2.
Solve log
b
36 = 2
A.
-6
B.
-6, 6
C.
6
D.
18
Hint
3.
Solve log
3
(
x
+ 4) - log
3
(
x
- 2) = 2 log
3
2.
A.
6
B.
4
C.
9
D.
8
Hint
4.
Solve log
5
(
x
+ 2) + log
5
( 2
x
- 1) = 2.
A.
no solution
B.
C.
3
D.
, 3
Hint
5.
Solve 3
2
x
-1
= 25.6 to three decimal places.
A.
0.739
B.
4.767
C.
1.976
D.
1.204
Hint
6.
A.
±1.022
B.
-2.266
C.
1.648
D.
1.022
Hint
7.
Simplify
A.
B.
27
x
3
n
y
6
C.
D.
Hint
8.
Suppose that the wealth of a business owner is increasing exponentially. In 1993, he had $40 million. In 2001, he had $55 million. How much money will he have in 2010?
A.
$78.7 million
B.
$28.0 million
C.
$20.3 million
D.
$57.2 million
Hint
9.
Solve log
5
(5
x
– 2) > log
5
(2
x
+ 10).
A.
0 <
x
< 4
B.
x
< 4
C.
x
> 4
D.
x
> 625
Hint
10.
Evaluate ln
e
3 -4
x
.
A.
e
3
–
e
4
x
B.
4
x
– 3
C.
3 – 4
x
D.
(3 – 4
x
)log
10
e
Hint
11.
Solve 3
e
-2
x
= 5.
A.
0.26
B.
0.51
C.
–0.51
D.
–0.26
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.
2043
B.
2065
C.
2053
D.
2093
Hint
13.
Two cities have insect problems. The insects in City A increase exponentially according to the equation
y
= 120,000
e
0.04
t
. The insects in City B increase exponentially according to the equation
y
= 90,000
e
0.08
t
. When will the cities have an equal amount of insects?
A.
at
t
= 7.89 years
B.
at
t
= 34.66 years
C.
at
t
= 3 years
D.
at
t
= 7.19 years
Hint
14.
Solve
.
A.
B.
C.
D.
Hint