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1.
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Select the graph of the exponential function. ![mc001-1.jpg](chapter_5_pre_test_files/mc001-1.jpg)
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2.
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Select the graph of the exponential function. ![mc002-1.jpg](chapter_5_pre_test_files/mc002-1.jpg)
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3.
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Determine whether the statement is true or false. Justify your
answer. The line ![mc003-1.jpg](chapter_5_pre_test_files/mc003-1.jpg) is an asymptote for the graph of ![mc003-2.jpg](chapter_5_pre_test_files/mc003-2.jpg)
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4.
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Write the exponential equation in logarithmic form. ![mc004-1.jpg](chapter_5_pre_test_files/mc004-1.jpg)
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5.
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Rewrite the logarithm as a ratio of natural logarithms. ![mc005-1.jpg](chapter_5_pre_test_files/mc005-1.jpg)
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6.
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Use the properties of logarithms to expand the expression as a sum, difference,
and/or constant multiple of logarithms. (Assume all variables are positive.) ![mc006-1.jpg](chapter_5_pre_test_files/mc006-1.jpg)
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7.
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Use a graphing utility to graph the functions given by ![mc007-1.jpg](chapter_5_pre_test_files/mc007-1.jpg) in the same viewing window.
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8.
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Evaluate the logarithm using the change-of-base formula. Round your result to
three decimal places. ![mc008-1.jpg](chapter_5_pre_test_files/mc008-1.jpg)
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9.
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Use the properties of logarithms to rewrite and simplify the logarithmic
expression. ![mc009-1.jpg](chapter_5_pre_test_files/mc009-1.jpg)
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10.
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Find the exact value of ![mc010-1.jpg](chapter_5_pre_test_files/mc010-1.jpg) without using a
calculator.
a. | 1 | b. | 4 | c. | 9 | d. | ![mc010-2.jpg](chapter_5_pre_test_files/mc010-2.jpg) | e. | ![mc010-3.jpg](chapter_5_pre_test_files/mc010-3.jpg) |
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11.
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Condense the expression ![mc011-1.jpg](chapter_5_pre_test_files/mc011-1.jpg) to the logarithm of a single
term.
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12.
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Approximate the point of intersection of the graphs of f and g.
Then solve the equation ![mc012-1.jpg](chapter_5_pre_test_files/mc012-1.jpg) algebraically to verify your
approximation. ![mc012-2.jpg](chapter_5_pre_test_files/mc012-2.jpg) ![mc012-3.jpg](chapter_5_pre_test_files/mc012-3.jpg)
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13.
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Solve the exponential equation algebraically. Approximate the result to three
decimal places. ![mc013-1.jpg](chapter_5_pre_test_files/mc013-1.jpg)
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14.
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Solve the exponential equation algebraically. Approximate the result to three
decimal places. ![mc014-1.jpg](chapter_5_pre_test_files/mc014-1.jpg)
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15.
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Solve the exponential equation algebraically. Approximate the result to three
decimal places. ![mc015-1.jpg](chapter_5_pre_test_files/mc015-1.jpg)
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16.
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Solve the exponential 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. ![mc017-1.jpg](chapter_5_pre_test_files/mc017-1.jpg)
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18.
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Solve for x: ![mc018-1.jpg](chapter_5_pre_test_files/mc018-1.jpg) . Round to 3 decimal places.
a. | 0.407 | b. | –1.362 | c. | 1.362 | d. | 2.407 | e. | no
solution |
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19.
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Select the correct graph for the given function ![mc019-1.jpg](chapter_5_pre_test_files/mc019-1.jpg)
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20.
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Find the exponential model that ![mc020-1.jpg](chapter_5_pre_test_files/mc020-1.jpg) fits the points shown in the
graph. ![mc020-2.jpg](chapter_5_pre_test_files/mc020-2.jpg)
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