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Evaluate Evaluate   at the indicated value of x. ​   ​ A)    B)    C) -7 D) 7 E)   at the indicated value of x. ​ Evaluate   at the indicated value of x. ​   ​ A)    B)    C) -7 D) 7 E)


A) Evaluate   at the indicated value of x. ​   ​ A)    B)    C) -7 D) 7 E)
B) Evaluate   at the indicated value of x. ​   ​ A)    B)    C) -7 D) 7 E)
C) -7
D) 7
E) Evaluate   at the indicated value of x. ​   ​ A)    B)    C) -7 D) 7 E)

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Write the logarithmic equation in exponential form. ​ Write the logarithmic equation in exponential form. ​   ​ A)    B)    C)    D)    E)


A) Write the logarithmic equation in exponential form. ​   ​ A)    B)    C)    D)    E)
B) Write the logarithmic equation in exponential form. ​   ​ A)    B)    C)    D)    E)
C) Write the logarithmic equation in exponential form. ​   ​ A)    B)    C)    D)    E)
D) Write the logarithmic equation in exponential form. ​   ​ A)    B)    C)    D)    E)
E) Write the logarithmic equation in exponential form. ​   ​ A)    B)    C)    D)    E)

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Write the exponential equation in logarithmic form. ​ Write the exponential equation in logarithmic form. ​   ​ A)    B)    C)    D)    E)


A) Write the exponential equation in logarithmic form. ​   ​ A)    B)    C)    D)    E)
B) Write the exponential equation in logarithmic form. ​   ​ A)    B)    C)    D)    E)
C) Write the exponential equation in logarithmic form. ​   ​ A)    B)    C)    D)    E)
D) Write the exponential equation in logarithmic form. ​   ​ A)    B)    C)    D)    E)
E) Write the exponential equation in logarithmic form. ​   ​ A)    B)    C)    D)    E)

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Solve for x.Approximate the result to three decimal places. ​ Solve for x.Approximate the result to three decimal places. ​   ​ A)    B)    C)    D)    E)


A) Solve for x.Approximate the result to three decimal places. ​   ​ A)    B)    C)    D)    E)
B) Solve for x.Approximate the result to three decimal places. ​   ​ A)    B)    C)    D)    E)
C) Solve for x.Approximate the result to three decimal places. ​   ​ A)    B)    C)    D)    E)
D) Solve for x.Approximate the result to three decimal places. ​   ​ A)    B)    C)    D)    E)
E) Solve for x.Approximate the result to three decimal places. ​   ​ A)    B)    C)    D)    E)

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Rewrite the logarithm as a ratio of common logarithms. ​ Rewrite the logarithm as a ratio of common logarithms. ​   ​ A)    B)    C)    D)    E) None of these


A) Rewrite the logarithm as a ratio of common logarithms. ​   ​ A)    B)    C)    D)    E) None of these
B) Rewrite the logarithm as a ratio of common logarithms. ​   ​ A)    B)    C)    D)    E) None of these
C) Rewrite the logarithm as a ratio of common logarithms. ​   ​ A)    B)    C)    D)    E) None of these
D) Rewrite the logarithm as a ratio of common logarithms. ​   ​ A)    B)    C)    D)    E) None of these
E) None of these

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Solve for x: Solve for x:   .Round to 3 decimal places. A) 0.517 B) no solution C) 3.517 D) -1.362 E) 1.362 .Round to 3 decimal places.


A) 0.517
B) no solution
C) 3.517
D) -1.362
E) 1.362

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Find the exponential model Find the exponential model   that fits the points shown in the graph. ​   ​ A)    B)    C)    D) ​​   E)   that fits the points shown in the graph. ​ Find the exponential model   that fits the points shown in the graph. ​   ​ A)    B)    C)    D) ​​   E)


A) Find the exponential model   that fits the points shown in the graph. ​   ​ A)    B)    C)    D) ​​   E)
B) Find the exponential model   that fits the points shown in the graph. ​   ​ A)    B)    C)    D) ​​   E)
C) Find the exponential model   that fits the points shown in the graph. ​   ​ A)    B)    C)    D) ​​   E)
D) ​​ Find the exponential model   that fits the points shown in the graph. ​   ​ A)    B)    C)    D) ​​   E)
E) Find the exponential model   that fits the points shown in the graph. ​   ​ A)    B)    C)    D) ​​   E)

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Put the expressions in the appropriate order: Put the expressions in the appropriate order:   . A)    B)    C) ​   D)    E) The expressions are equivalent. .


A) Put the expressions in the appropriate order:   . A)    B)    C) ​   D)    E) The expressions are equivalent.
B) Put the expressions in the appropriate order:   . A)    B)    C) ​   D)    E) The expressions are equivalent.
C) ​ Put the expressions in the appropriate order:   . A)    B)    C) ​   D)    E) The expressions are equivalent.
D) Put the expressions in the appropriate order:   . A)    B)    C) ​   D)    E) The expressions are equivalent.
E) The expressions are equivalent.

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Rewrite the exponential equation Rewrite the exponential equation   in logarithmic form. A)    B)    C)    D)    E)   in logarithmic form.


A) Rewrite the exponential equation   in logarithmic form. A)    B)    C)    D)    E)
B) Rewrite the exponential equation   in logarithmic form. A)    B)    C)    D)    E)
C) Rewrite the exponential equation   in logarithmic form. A)    B)    C)    D)    E)
D) Rewrite the exponential equation   in logarithmic form. A)    B)    C)    D)    E)
E) Rewrite the exponential equation   in logarithmic form. A)    B)    C)    D)    E)

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The chemical acidity of a solution is measured in units of pH: The chemical acidity of a solution is measured in units of pH:   , where   is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its   than pure water's, which has a pH of 7? A)    B)    C) 7 D)    E)   , where The chemical acidity of a solution is measured in units of pH:   , where   is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its   than pure water's, which has a pH of 7? A)    B)    C) 7 D)    E)   is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its The chemical acidity of a solution is measured in units of pH:   , where   is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its   than pure water's, which has a pH of 7? A)    B)    C) 7 D)    E)   than pure water's, which has a pH of 7?


A) The chemical acidity of a solution is measured in units of pH:   , where   is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its   than pure water's, which has a pH of 7? A)    B)    C) 7 D)    E)
B) The chemical acidity of a solution is measured in units of pH:   , where   is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its   than pure water's, which has a pH of 7? A)    B)    C) 7 D)    E)
C) 7
D) The chemical acidity of a solution is measured in units of pH:   , where   is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its   than pure water's, which has a pH of 7? A)    B)    C) 7 D)    E)
E) The chemical acidity of a solution is measured in units of pH:   , where   is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its   than pure water's, which has a pH of 7? A)    B)    C) 7 D)    E)

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Condense the expression Condense the expression   to the logarithm of a single term. A)    B)    C)    D)    E)   to the logarithm of a single term.


A) Condense the expression   to the logarithm of a single term. A)    B)    C)    D)    E)
B) Condense the expression   to the logarithm of a single term. A)    B)    C)    D)    E)
C) Condense the expression   to the logarithm of a single term. A)    B)    C)    D)    E)
D) Condense the expression   to the logarithm of a single term. A)    B)    C)    D)    E)
E) Condense the expression   to the logarithm of a single term. A)    B)    C)    D)    E)

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Write the exponential equation in logarithmic form. ​ Write the exponential equation in logarithmic form. ​   ​ A)    B)    C)    D)    E)


A) Write the exponential equation in logarithmic form. ​   ​ A)    B)    C)    D)    E)
B) Write the exponential equation in logarithmic form. ​   ​ A)    B)    C)    D)    E)
C) Write the exponential equation in logarithmic form. ​   ​ A)    B)    C)    D)    E)
D) Write the exponential equation in logarithmic form. ​   ​ A)    B)    C)    D)    E)
E) Write the exponential equation in logarithmic form. ​   ​ A)    B)    C)    D)    E)

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Let Q represent a mass of radioactive radium (226Ra) (in grams) , whose half-life is 1599 years.The quantity of radium present after t years is Let Q represent a mass of radioactive radium (<sup>226</sup>Ra)  (in grams) , whose half-life is 1599 years.The quantity of radium present after t years is   Determine the quantity present after 300 years.Round to the nearest hundredth of a gram. A) 0 g B) 0.47 g C) 5.00 g D) 4.39 g E) 0.88 g Determine the quantity present after 300 years.Round to the nearest hundredth of a gram.


A) 0 g
B) 0.47 g
C) 5.00 g
D) 4.39 g
E) 0.88 g

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$2500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.) ​ $2500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.)  ​   ​ A) 13.55 yr B) 10.55 yr C) 12.55 yr D) 9.55 yr E) 11.55 yr


A) 13.55 yr
B) 10.55 yr
C) 12.55 yr
D) 9.55 yr
E) 11.55 yr

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Use the One-to-One Property to solve the equation for x. ​ Use the One-to-One Property to solve the equation for x. ​   ​ A)    B) -2 C)    D)    E)


A) Use the One-to-One Property to solve the equation for x. ​   ​ A)    B) -2 C)    D)    E)
B) -2
C) Use the One-to-One Property to solve the equation for x. ​   ​ A)    B) -2 C)    D)    E)
D) Use the One-to-One Property to solve the equation for x. ​   ​ A)    B) -2 C)    D)    E)
E) Use the One-to-One Property to solve the equation for x. ​   ​ A)    B) -2 C)    D)    E)

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Use the One-to-One Property to solve the equation for x. ​ Use the One-to-One Property to solve the equation for x. ​   ​ A)    B)    C)    D)    E)


A) Use the One-to-One Property to solve the equation for x. ​   ​ A)    B)    C)    D)    E)
B) Use the One-to-One Property to solve the equation for x. ​   ​ A)    B)    C)    D)    E)
C) Use the One-to-One Property to solve the equation for x. ​   ​ A)    B)    C)    D)    E)
D) Use the One-to-One Property to solve the equation for x. ​   ​ A)    B)    C)    D)    E)
E) Use the One-to-One Property to solve the equation for x. ​   ​ A)    B)    C)    D)    E)

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Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​ Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​   ​ A)    B)    C)    D)    E)


A) Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​   ​ A)    B)    C)    D)    E)
B) Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​   ​ A)    B)    C)    D)    E)
C) Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​   ​ A)    B)    C)    D)    E)
D) Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​   ​ A)    B)    C)    D)    E)
E) Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​   ​ A)    B)    C)    D)    E)

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Assume that x, y and c are positive numbers.Use the properties of logarithms to write the expression Assume that x, y and c are positive numbers.Use the properties of logarithms to write the expression   in terms of the logarithms of x and y. ​ A)    B)    C)    D)    E)   in terms of the logarithms of x and y. ​


A) Assume that x, y and c are positive numbers.Use the properties of logarithms to write the expression   in terms of the logarithms of x and y. ​ A)    B)    C)    D)    E)
B) Assume that x, y and c are positive numbers.Use the properties of logarithms to write the expression   in terms of the logarithms of x and y. ​ A)    B)    C)    D)    E)
C) Assume that x, y and c are positive numbers.Use the properties of logarithms to write the expression   in terms of the logarithms of x and y. ​ A)    B)    C)    D)    E)
D) Assume that x, y and c are positive numbers.Use the properties of logarithms to write the expression   in terms of the logarithms of x and y. ​ A)    B)    C)    D)    E)
E) Assume that x, y and c are positive numbers.Use the properties of logarithms to write the expression   in terms of the logarithms of x and y. ​ A)    B)    C)    D)    E)

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Select the correct graph for the given function ​ Select the correct graph for the given function ​   ​ A) ​   B) ​   C) ​   D) ​   E) ​


A) ​ Select the correct graph for the given function ​   ​ A) ​   B) ​   C) ​   D) ​   E) ​
B) ​ Select the correct graph for the given function ​   ​ A) ​   B) ​   C) ​   D) ​   E) ​
C) ​ Select the correct graph for the given function ​   ​ A) ​   B) ​   C) ​   D) ​   E) ​
D) ​ Select the correct graph for the given function ​   ​ A) ​   B) ​   C) ​   D) ​   E) ​
E) ​ Select the correct graph for the given function ​   ​ A) ​   B) ​   C) ​   D) ​   E) ​

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Use the One-to-One Property to solve the equation for x. ​ Use the One-to-One Property to solve the equation for x. ​   ​ A)    B)    C)    D)    E)


A) Use the One-to-One Property to solve the equation for x. ​   ​ A)    B)    C)    D)    E)
B) Use the One-to-One Property to solve the equation for x. ​   ​ A)    B)    C)    D)    E)
C) Use the One-to-One Property to solve the equation for x. ​   ​ A)    B)    C)    D)    E)
D) Use the One-to-One Property to solve the equation for x. ​   ​ A)    B)    C)    D)    E)
E) Use the One-to-One Property to solve the equation for x. ​   ​ A)    B)    C)    D)    E)

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