| |
| |
1. |
Solve 52n+3 < 25. |
| |
|
A. |
n < -1 |
B. |
n > 1 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Evaluate  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
9 |
D. |
-3 |
| |
|
Hint |
|
| |
3. |
Finance If $500 is deposited in an account paying 5.25% interest compounded continuously, find the amount in the account after 3 years. |
| |
|
A. |
$616.84 |
B. |
$427.14 |
| |
|
C. |
$585.29 |
D. |
$555.36 |
| |
|
Hint |
|
| |
4. |
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. |
$20.3 million |
B. |
$57.2 million |
| |
|
C. |
$28.0 million |
D. |
$78.7 million |
| |
|
Hint |
|
| |
5. |
Solve log 5 (5x – 2) > log 5 (2x + 10). |
| |
|
A. |
x > 4 |
B. |
0 < x < 4 |
| |
|
C. |
x < 4 |
D. |
x > 625 |
| |
|
Hint |
|
| |
6. |
Use the fact that log 5 8  1.29 and log 5 10 1.43 to approximate the value of log 5 80. |
| |
|
A. |
1.11 |
B. |
2.72 |
| |
|
C. |
16 |
D. |
1.84 |
| |
|
Hint |
|
| |
7. |
Solve the equation 2 log 6 x – log 6 5 = log 6 125. |
| |
|
A. |
–25 |
B. |
no solution |
| |
|
C. |
312.5 |
D. |
25 |
| |
|
Hint |
|
| |
8. |
Solve 62x > 5x + 2. |
| |
|
A. |
x > 1.63 |
B. |
x > 0.85 |
| |
|
C. |
x > 0.82 |
D. |
x > 1.82 |
| |
|
Hint |
|
| |
9. |
Suppose black coffee has a pH of 5 and milk of magnesia has a pH of 10. How many times more hydrogen ions are in black coffee than in milk of magnesia? (pH = –log[H+], where H+ is the substance's hydrogen ion concentration in moles per liter) |
| |
|
A. |
2 times |
B. |
5 times |
| |
|
C. |
100,000 times |
D. |
100 times |
| |
|
Hint |
|
| |
10. |
What is an equivalent logarithmic equation to ex = 7? |
| |
|
A. |
ln x = 7 |
B. |
ex = ln 7 |
| |
|
C. |
x = ln 7 |
D. |
7 = ln e |
| |
|
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. |
2065 |
B. |
2093 |
| |
|
C. |
2043 |
D. |
2053 |
| |
|
Hint |
|
| |
12. |
Two cities have insect problems. The insects in City A increase exponentially according to the equation y = 120,000e0.04t. The insects in City B increase exponentially according to the equation y = 90,000e0.08t. When will the cities have an equal amount of insects? |
| |
|
A. |
at t = 34.66 years |
B. |
at t = 7.89 years |
| |
|
C. |
at t = 7.19 years |
D. |
at t = 3 years |
| |
|
Hint |
|
|
|