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1. |
Solve 2x+4 = 22x+5. |
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A. |
-3 |
B. |
-2 |
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C. |
-4 |
D. |
-1 |
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Hint |
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2. |
Solve 52n+3 < 25. |
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A. |
 |
B. |
n > 1 |
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C. |
n < -1 |
D. |
 |
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Hint |
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3. |
Evaluate log7 49. |
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A. |
2 |
B. |
1 |
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C. |
7 |
D. |
49 |
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Hint |
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4. |
Evaluate  . |
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A. |
log (x - 3) |
B. |
5 log5 (x - 3) |
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C. |
x - 3 |
D. |
log25 (x - 3) |
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Hint |
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5. |
If  and  , find the approximate value of log2 15. |
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A. |
0.7369 |
B. |
3.6802 |
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C. |
1.4649 |
D. |
3.9069 |
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Hint |
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6. |
Find ln 0.732 to four decimal places. |
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A. |
-0.3120 |
B. |
-0.4624 |
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C. |
-0.4719 |
D. |
-0.5227 |
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Hint |
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7. |
Given that log 8 10  1.11 and log 8 60 1.97, find log 8 6. |
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A. |
0.86 |
B. |
1.77 |
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C. |
1.16 |
D. |
3.08 |
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Hint |
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8. |
Express log 6 15 in terms of common logarithms. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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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) |
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A. |
5 times |
B. |
100 times |
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C. |
2 times |
D. |
100,000 times |
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Hint |
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10. |
What is an equivalent logarithmic equation to ex = 7? |
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A. |
ex = ln 7 |
B. |
x = ln 7 |
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C. |
ln x = 7 |
D. |
7 = ln e |
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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 A, by about 30,000 |
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C. |
City B, by about 80,000 |
D. |
City B, by about 30,000 |
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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. |
2053 |
B. |
2093 |
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C. |
2043 |
D. |
2065 |
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Hint |
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