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1. |
Find the value of a if the graph of the exponential function y = a · 3x passes through the point B(2, -3). |
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A. |
 |
B. |
3 |
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C. |
-3 |
D. |
9 |
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Hint |
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2. |
Solve log6 ( y2 - 9) = log6 ( 7y - 21). |
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A. |
-6, 4 |
B. |
4 |
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C. |
3, 4 |
D. |
3, 6 |
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Hint |
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3. |
If  and  , find the approximate value of log2 15. |
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A. |
3.6802 |
B. |
0.7369 |
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C. |
1.4649 |
D. |
3.9069 |
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Hint |
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4. |
Find log 47.2 to four decimal places. |
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A. |
3.8544 |
B. |
2.0791 |
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C. |
1.6739 |
D. |
0.6739 |
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Hint |
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5. |
Find log 136.8 to four decimal places. |
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A. |
2.1418 |
B. |
2.0502 |
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C. |
2.1361 |
D. |
2.1106 |
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Hint |
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6. |
Finance If $500 is deposited in an account paying 5.25% interest compounded continuously, find the amount in the account after 3 years. |
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A. |
$585.29 |
B. |
$427.14 |
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C. |
$616.84 |
D. |
$555.36 |
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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 5 (5x – 2) > log 5 (2x + 10). |
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A. |
x > 4 |
B. |
x < 4 |
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C. |
0 < x < 4 |
D. |
x > 625 |
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Hint |
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9. |
Use log 3 4  1.26 to approximate the value of log 3 108. |
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A. |
2.38 |
B. |
36 |
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C. |
3.78 |
D. |
4.26 |
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Hint |
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10. |
What is an equivalent logarithmic equation to ex = 7? |
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A. |
x = ln 7 |
B. |
ln x = 7 |
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C. |
7 = ln e |
D. |
ex = ln 7 |
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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 A, by about 80,000 |
B. |
City B, by about 30,000 |
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C. |
City A, by about 30,000 |
D. |
City B, by about 80,000 |
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Hint |
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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? |
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A. |
2093 |
B. |
2043 |
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C. |
2053 |
D. |
2065 |
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Hint |
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