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1.
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Select the graph of the function.
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2.
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Use a graphing utility to construct a table of values for the function. Round
your answer to three decimal places.
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3.
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Select the graph of the exponential function.
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4.
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Write the logarithmic equation in exponential form.
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5.
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Evaluate the function at the indicated value of . Round your
result to three decimal places.
a. | 3.132 | b. | –2.033 | c. | –3.132 | d. | 2.033 | e. | 22.92 |
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6.
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Evaluate the function at the indicated value of . Round your
result to three decimal places.
a. | –1.099 | b. | 3 | c. | 1.792 | d. | –1.792 | e. | 1.099 |
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7.
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Find the exact value of the logarithmic expression without using a
calculator.
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8.
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Condense the expression to the logarithm of a single quantity.
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9.
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Use the properties of logarithms to rewrite and simplify the logarithmic
expression.
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10.
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Evaluate the logarithm using the change of base
formula. Round to 3 decimal places.
a. | –1.745 | b. | –0.692 | c. | 0.630 | d. | 0.273 | e. | –0.573 |
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11.
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Find the exact value of without using a
calculator.
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12.
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Find the exact value of without using a
calculator.
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13.
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Solve the exponential equation algebraically. Approximate the result to three
decimal places.
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14.
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Solve the exponential equation algebraically. Approximate the result to three
decimal places.
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15.
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Solve the logarithmic equation algebraically. Approximate the result to three
decimal places.
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16.
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Solve the logarithmic equation algebraically. Approximate the result to three
decimal places.
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17.
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Solve the logarithmic equation algebraically. Approximate the result to three
decimal places.
a. | 100,000,000 | b. | 100,000,000,000 | c. | 1,000,000,000 | d. | 10,000,000,000 | e. | 10,000,000 |
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18.
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Solve the logarithmic equation algebraically. Approximate the result to three
decimal places.
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19.
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Solve the equation algebraically. Round the result to three decimal places.
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20.
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The population P of a culture of bacteria is described by the equation
, where t is the time, in hours,
relative to the time at which the population was 1500. What was the population at hours?
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