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Use a calculator and the change-of-base formula to find the logarithm to four decimal places. Use a calculator and the change-of-base formula to find the logarithm to four decimal places.   A)  1.0419 B)  - 1.4650 C)  1.3645 D)  - 1.4572 E)  2.2304


A) 1.0419
B) - 1.4650
C) 1.3645
D) - 1.4572
E) 2.2304

F) B) and D)
G) C) and E)

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Use your calculator to find x when given ln x . Express answer to four decimal places. Use your calculator to find x when given ln x . Express answer to four decimal places.   A)  1.1838 B)  1.1238 C)  1.1638 D)  1.1338 E)  1.1538


A) 1.1838
B) 1.1238
C) 1.1638
D) 1.1338
E) 1.1538

F) B) and D)
G) None of the above

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Write the logarithm as a sum and/or difference of logarithms of a single quantity. Then simplify if possible. Assume that q and w are positive numbers. Write the logarithm as a sum and/or difference of logarithms of a single quantity. Then simplify if possible. Assume that q and w are positive numbers.   A)    B)    C)    D)    E)


A) Write the logarithm as a sum and/or difference of logarithms of a single quantity. Then simplify if possible. Assume that q and w are positive numbers.   A)    B)    C)    D)    E)
B) Write the logarithm as a sum and/or difference of logarithms of a single quantity. Then simplify if possible. Assume that q and w are positive numbers.   A)    B)    C)    D)    E)
C) Write the logarithm as a sum and/or difference of logarithms of a single quantity. Then simplify if possible. Assume that q and w are positive numbers.   A)    B)    C)    D)    E)
D) Write the logarithm as a sum and/or difference of logarithms of a single quantity. Then simplify if possible. Assume that q and w are positive numbers.   A)    B)    C)    D)    E)
E) Write the logarithm as a sum and/or difference of logarithms of a single quantity. Then simplify if possible. Assume that q and w are positive numbers.   A)    B)    C)    D)    E)

F) D) and E)
G) A) and E)

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Solve the exponential equation and express approximate solutions to the nearest hundredth. 8 25 x + 3 = 34 x + 8


A) x = 0.75
B) x = 0.83
C) x = 0.91
D) x = 0.45
E) x = 8.48

F) A) and E)
G) A) and B)

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Graph the function. Graph the function.   A)    B)    C)    D)    E)  none of these


A) Graph the function.   A)    B)    C)    D)    E)  none of these
B) Graph the function.   A)    B)    C)    D)    E)  none of these
C) Graph the function.   A)    B)    C)    D)    E)  none of these
D) Graph the function.   A)    B)    C)    D)    E)  none of these
E) none of these

F) None of the above
G) B) and C)

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Graph the exponential function. Graph the exponential function.   A)    B)    C)    D)


A) Graph the exponential function.   A)    B)    C)    D)
B) Graph the exponential function.   A)    B)    C)    D)
C) Graph the exponential function.   A)    B)    C)    D)
D) Graph the exponential function.   A)    B)    C)    D)

E) A) and B)
F) B) and C)

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Find the value, if possible. Give the answer to four decimal places. Find the value, if possible. Give the answer to four decimal places.   A)  0.3471 B)  0.3411 C)  0.3642 D)  0.3586 E)  none of these


A) 0.3471
B) 0.3411
C) 0.3642
D) 0.3586
E) none of these

F) B) and C)
G) A) and D)

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How long will it take $900 to double itself if it is invested at 11% interest compounded semiannually? Please round the answer to the nearest tenth.


A) 6.5 years
B) 9.5 years
C) 7.0 years
D) 5.5 years
E) 7.5 years

F) A) and B)
G) All of the above

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A

Write the logarithmic statement in exponential form. For example, "log 2 8 = 3" becomes "2 3 = 8" in exponential form. log 10 100 = 2


A) 10 2 = -100
B) 10 2 = 0
C) 2 10 = 100
D) 10 2 = 100
E) 10 100 = 2

F) B) and C)
G) A) and E)

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Assume that x and b ( b ≠ 1) are positive numbers. Use the properties of logarithms to write the expression as the logarithm of a single quantity. Assume that x and b ( b ≠ 1)  are positive numbers. Use the properties of logarithms to write the expression as the logarithm of a single quantity.   A)    B)    C)    D)    E)


A) Assume that x and b ( b ≠ 1)  are positive numbers. Use the properties of logarithms to write the expression as the logarithm of a single quantity.   A)    B)    C)    D)    E)
B) Assume that x and b ( b ≠ 1)  are positive numbers. Use the properties of logarithms to write the expression as the logarithm of a single quantity.   A)    B)    C)    D)    E)
C) Assume that x and b ( b ≠ 1)  are positive numbers. Use the properties of logarithms to write the expression as the logarithm of a single quantity.   A)    B)    C)    D)    E)
D) Assume that x and b ( b ≠ 1)  are positive numbers. Use the properties of logarithms to write the expression as the logarithm of a single quantity.   A)    B)    C)    D)    E)
E) Assume that x and b ( b ≠ 1)  are positive numbers. Use the properties of logarithms to write the expression as the logarithm of a single quantity.   A)    B)    C)    D)    E)

F) A) and B)
G) All of the above

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A

Write the logarithmic statement in exponential form. For example, "log 2 8 = 3" becomes "2 3 = 8" in exponential form. Write the logarithmic statement in exponential form. For example,  log 2<sub></sub> 8 = 3  becomes  2 <sup>3</sup> = 8  in exponential form.   A)    B)    C)    D)    E)


A) Write the logarithmic statement in exponential form. For example,  log 2<sub></sub> 8 = 3  becomes  2 <sup>3</sup> = 8  in exponential form.   A)    B)    C)    D)    E)
B) Write the logarithmic statement in exponential form. For example,  log 2<sub></sub> 8 = 3  becomes  2 <sup>3</sup> = 8  in exponential form.   A)    B)    C)    D)    E)
C) Write the logarithmic statement in exponential form. For example,  log 2<sub></sub> 8 = 3  becomes  2 <sup>3</sup> = 8  in exponential form.   A)    B)    C)    D)    E)
D) Write the logarithmic statement in exponential form. For example,  log 2<sub></sub> 8 = 3  becomes  2 <sup>3</sup> = 8  in exponential form.   A)    B)    C)    D)    E)
E) Write the logarithmic statement in exponential form. For example,  log 2<sub></sub> 8 = 3  becomes  2 <sup>3</sup> = 8  in exponential form.   A)    B)    C)    D)    E)

F) None of the above
G) All of the above

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Use the formula Use the formula   to find the total amount of money accumulated at the end of the indicated time period for the following investments. Please round the answers to the nearest hundredth. $300 for 13 years at 8% compounded semiannually. A)  $813.02 B)  $830.96 C)  $823.83 D)  $831.74 E)  $875.65 to find the total amount of money accumulated at the end of the indicated time period for the following investments. Please round the answers to the nearest hundredth. $300 for 13 years at 8% compounded semiannually.


A) $813.02
B) $830.96
C) $823.83
D) $831.74
E) $875.65

F) D) and E)
G) A) and B)

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The number of grams Q of a certain radioactive substance present after t seconds is given by the equation The number of grams Q of a certain radioactive substance present after t seconds is given by the equation   . How many grams remain after 14 seconds? Please round the answers to the nearest whole. A)  Q = 1,309 grams B)  Q = 1,283 grams C)  Q = 1,490 grams D)  Q = 1,232 grams E)  Q = 1,233 grams . How many grams remain after 14 seconds? Please round the answers to the nearest whole.


A) Q = 1,309 grams
B) Q = 1,283 grams
C) Q = 1,490 grams
D) Q = 1,232 grams
E) Q = 1,233 grams

F) B) and E)
G) A) and D)

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Use your calculator to find x when given ln x . Express answer to four decimal places. Use your calculator to find x when given ln x . Express answer to four decimal places.   A)  0.0568 B)  0.0768 C)  0.1068 D)  0.0868 E)  0.0468


A) 0.0568
B) 0.0768
C) 0.1068
D) 0.0868
E) 0.0468

F) C) and D)
G) A) and B)

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The population of the earth is approximately 6 billion people and is growing at an annual growth rate of 1.9%. Assuming a Malthusian growth model, find the world population in 45 years. Round your answer to the nearest tenth.


A) 12.4 billion
B) 14.8 billion
C) 12.1 billion
D) 14.1 billion

E) C) and D)
F) A) and D)

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Use the formula Use the formula   to find the total amount of money accumulated at the end of the indicated time period by compounding continuously. Please round the answers to the nearest hundredth. $7,000 for 35 years at 13%. A)  $606,927.99 B)  $529,502.67 C)  $566,096.83 D)  $466,849.94 E)  $592,807.49 to find the total amount of money accumulated at the end of the indicated time period by compounding continuously. Please round the answers to the nearest hundredth. $7,000 for 35 years at 13%.


A) $606,927.99
B) $529,502.67
C) $566,096.83
D) $466,849.94
E) $592,807.49

F) A) and E)
G) B) and E)

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Use the change of base formula to identify the expression that is equivalent to Use the change of base formula to identify the expression that is equivalent to   . A)    B)    C)    D)   .


A) Use the change of base formula to identify the expression that is equivalent to   . A)    B)    C)    D)
B) Use the change of base formula to identify the expression that is equivalent to   . A)    B)    C)    D)
C) Use the change of base formula to identify the expression that is equivalent to   . A)    B)    C)    D)
D) Use the change of base formula to identify the expression that is equivalent to   . A)    B)    C)    D)

E) B) and D)
F) A) and B)

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Find the value, if possible. Give the answer to four decimal places. Find the value, if possible. Give the answer to four decimal places.   A)  - 0.6330 B)  - 0.6482 C)  - 0.6675 D)  - 0.5656 E)  none of these


A) - 0.6330
B) - 0.6482
C) - 0.6675
D) - 0.5656
E) none of these

F) B) and E)
G) All of the above

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Graph the exponential function. f ( x ) = 3 x + 2


A) Graph the exponential function. f ( x )  = 3 <sup>x</sup> <sup> + 2</sup> A)    B)    C)    D)
B) Graph the exponential function. f ( x )  = 3 <sup>x</sup> <sup> + 2</sup> A)    B)    C)    D)
C) Graph the exponential function. f ( x )  = 3 <sup>x</sup> <sup> + 2</sup> A)    B)    C)    D)
D) Graph the exponential function. f ( x )  = 3 <sup>x</sup> <sup> + 2</sup> A)    B)    C)    D)

E) B) and D)
F) A) and D)

Correct Answer

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An earthquake has a period of An earthquake has a period of   second, and an amplitude of   micrometers. Find its measure on the Richter scale. A)    B)    C)    D)    E)   second, and an amplitude of An earthquake has a period of   second, and an amplitude of   micrometers. Find its measure on the Richter scale. A)    B)    C)    D)    E)   micrometers. Find its measure on the Richter scale.


A) An earthquake has a period of   second, and an amplitude of   micrometers. Find its measure on the Richter scale. A)    B)    C)    D)    E)
B) An earthquake has a period of   second, and an amplitude of   micrometers. Find its measure on the Richter scale. A)    B)    C)    D)    E)
C) An earthquake has a period of   second, and an amplitude of   micrometers. Find its measure on the Richter scale. A)    B)    C)    D)    E)
D) An earthquake has a period of   second, and an amplitude of   micrometers. Find its measure on the Richter scale. A)    B)    C)    D)    E)
E) An earthquake has a period of   second, and an amplitude of   micrometers. Find its measure on the Richter scale. A)    B)    C)    D)    E)

F) C) and E)
G) A) and B)

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D

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