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1. |
Simplify  |
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A. |
y3 |
B. |
 |
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C. |
 |
D. |
y30 |
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Hint |
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2. |
Evaluate  . |
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A. |
5 log5 (x - 3) |
B. |
x - 3 |
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C. |
log25 (x - 3) |
D. |
log (x - 3) |
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Hint |
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3. |
Solve log6 ( y2 - 9) = log6 ( 7y - 21). |
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A. |
-6, 4 |
B. |
3, 6 |
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C. |
3, 4 |
D. |
4 |
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Hint |
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4. |
Chemistry The pH of a solution and the concentration [H+] of hydrogen ions in the solution are related by the formula  . Find the concentration of hydrogen ions in a solution with a pH of 2.9. |
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A. |
0.0013 |
B. |
0.00032 |
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C. |
794.33 |
D. |
0.00068 |
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Hint |
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5. |
Find log 136.8 to four decimal places. |
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A. |
2.1361 |
B. |
2.1106 |
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C. |
2.0502 |
D. |
2.1418 |
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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. |
$555.36 |
B. |
$585.29 |
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C. |
$427.14 |
D. |
$616.84 |
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Hint |
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7. |
Solve 4x = 22 to three decimal places. |
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A. |
3.414 |
B. |
2.230 |
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C. |
3.961 |
D. |
5.500 |
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Hint |
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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? |
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A. |
$28.0 million |
B. |
$78.7 million |
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C. |
$57.2 million |
D. |
$20.3 million |
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Hint |
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9. |
Given that log 8 10  1.11 and log 8 60 1.97, find log 8 6. |
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A. |
1.16 |
B. |
0.86 |
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C. |
3.08 |
D. |
1.77 |
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Hint |
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10. |
What is an equivalent logarithmic equation to ex = 7? |
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A. |
ln x = 7 |
B. |
ex = ln 7 |
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C. |
x = ln 7 |
D. |
7 = ln e |
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Hint |
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11. |
A Mickey Mantle rookie card appreciates in value 2% every year. How much was it worth in 1990 if it is worth $35,000 in 2000? |
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A. |
$28, 712 |
B. |
$42,665 |
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C. |
$216,711 |
D. |
$5653 |
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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. |
2043 |
B. |
2065 |
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C. |
2093 |
D. |
2053 |
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Hint |
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