Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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Write the given equation in logarithmic form.
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1.
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 = 2,401
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Write the given equation in exponential form.
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2.
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a. | | c. | 6–4 =  | b. | | d. | | | | | |
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Evaluate the logarithmic expression.
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3.
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4.
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a. | –0.0458 | c. | 1.9459 | b. | 0.9459 | d. | 1.0572 | | | | |
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5.
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 .a. | | c. | 5 | b. | | d. | e | | | | |
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Solve the given equation. If necessary, round to four decimal
places.
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6.
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7.
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a. | 3.3111 | c. | 79.6443 | b. | 3.6376 | d. | 1.1027 | | | | |
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8.
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 = 1,296a. | | c. | | b. | | d. | 
–2 | | | | |
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9.
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10.
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11.
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12.
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13.
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a. | 0.2604 | c. | 0.5074 | b. | 0.4907 | d. | 2.8333 | | | | |
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14.
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15.
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An
anthropologist finds there is so little Carbon-14 remaining in a prehistoric bone that instruments
cannot measure it. This means there is less than 0.2% of the amount of Carbon-14 the bones would have
contained when the person was alive. How long ago did the person die? (The half-life of Carbon-14 is
5730 years.) a. | 13,411
years | c. | 45,020
years | b. | 22,491 years | d. | 51,374 years | | | | |
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16.
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The
Marriott family bought a new apartment three years ago for $65,000. The apartment is now worth
$86,515. Assuming a steady rate of growth, what was the yearly rate of appreciation?
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17.
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All
general exponential functions,  , pass
through the point ... a. | (0, 1) | b. | (1,
0) | c. | (a,
1) | d. | (0,
a) | | |
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18.
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19.
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The
graph of  is the graph of  ... a. | shifted up 3 and
left 2 | b. | shifted down 3 and left 2 | c. | shifted up 3 and
right 2 | d. | shifted down 3 and right 2 | | |
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20.
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Which
equation below could represent exponential decay?
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21.
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Which
equation below could represent ...
$400 invested at 6% interest compounded annually
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22.
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What
is the domain of any general logarithmic function? a. | All real
numbers | b. | All real numbers  | c. | All real number 
1 | d. | All real numbers
< 0 | | |
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23.
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Which
graph below might represent  ?
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24.
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Which
graph below might represent  ?
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25.
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Which
equation below REQUIRES the use of logarithms to solve?
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26.
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Which
below is the “calculator-ready” form of the solution
to:  ?
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27.
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Which
expression below is equivalent to  ?
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