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1. |
Simplify  |
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A. |
315 |
B. |
 |
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C. |
15 |
D. |
 |
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Hint |
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2. |
Solve log6 ( y2 - 9) = log6 ( 7y - 21). |
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A. |
3, 4 |
B. |
-6, 4 |
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C. |
4 |
D. |
3, 6 |
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Hint |
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3. |
Find log 47.2 to four decimal places. |
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A. |
0.6739 |
B. |
2.0791 |
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C. |
1.6739 |
D. |
3.8544 |
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Hint |
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4. |
Find log 136.8 to four decimal places. |
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A. |
2.1361 |
B. |
2.1106 |
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C. |
2.1418 |
D. |
2.0502 |
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Hint |
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5. |
Find ln 6.21 to four decimal places. |
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A. |
1.8262 |
B. |
497.7013 |
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C. |
2.7183 |
D. |
0.7931 |
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Hint |
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6. |
Find ln 0.732 to four decimal places. |
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A. |
-0.5227 |
B. |
-0.4624 |
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C. |
-0.3120 |
D. |
-0.4719 |
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Hint |
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7. |
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? |
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A. |
 |
B. |
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C. |
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D. |
 |
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Hint |
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8. |
Solve log 3 x < 4. Check your solution. |
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A. |
x < 64 |
B. |
x < 81 |
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C. |
0 < x < 81 |
D. |
0 < x < 64 |
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Hint |
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9. |
Use the fact that log 5 8  1.29 and log 5 10 1.43 to approximate the value of log 5 80. |
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A. |
1.11 |
B. |
16 |
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C. |
2.72 |
D. |
1.84 |
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Hint |
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10. |
Solve the equation 2 log 6 x – log 6 5 = log 6 125. |
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A. |
25 |
B. |
–25 |
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C. |
312.5 |
D. |
no solution |
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Hint |
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11. |
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. In 15 years, which city will have more insects, and by approximately how much? |
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A. |
City B, by about 80,000 |
B. |
City A, by about 30,000 |
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C. |
City B, by about 30,000 |
D. |
City A, by about 80,000 |
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Hint |
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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? |
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A. |
at t = 7.89 years |
B. |
at t = 7.19 years |
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C. |
at t = 3 years |
D. |
at t = 34.66 years |
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Hint |
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