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1.
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Select the graph of the exponential function.
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2.
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Select the graph of the exponential function.
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3.
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Determine whether the statement is true or false. Justify your
answer. The line is an asymptote for the graph of
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4.
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Write the exponential equation in logarithmic form.
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5.
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Rewrite the logarithm as a ratio of natural logarithms.
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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.)
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7.
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Use a graphing utility to graph the functions given by 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.
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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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Find the exact value of without using a
calculator.
a. | 1 | b. | 4 | c. | 9 | d. | | e. | |
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11.
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Condense the expression 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 algebraically to verify your
approximation.
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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 exponential equation algebraically. Approximate the result to three
decimal places.
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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.
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18.
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Solve for x: . 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
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20.
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Find the exponential model that fits the points shown in the
graph.
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