Evaluate the function at the indicated value of x. Round your result to three decimal places. Function: f(x) = 0.5x Value: x = 1.7

QUESTION 1

  • Evaluate the function at the indicated value of x.  Round your result to three decimal places.
Function: f(x) = 0.5x   Value: x = 1.7






























                 -0.308
             1.7
          0.308
             0.5
                 -1.7

5 points  

QUESTION 2

  • Match the graph with its exponential function.






























               y = 2-x – 3
               y = -2x + 3
               y = 2x + 3
               y = 2x – 3
               y = -2x – 3

5 points  

QUESTION 3

  • Select the graph of the function.
f(x) = 5x-1































5 points  

QUESTION 4

  • Evaluate the function at the indicated value of x.  Round your result to three decimal places.
Function: f(x) = 500e05x    Value: x=17






























          1169.823
          1369.823
          1569.823
          1269.823
          1469.823

5 points  

QUESTION 5

  • Use the One-to-One property to solve the equation for x.
e3x+5 = 36






























          x = –1/3
          x2 = 6
          x = -3
          x = 1/3
          x = 3

5 points  

QUESTION 6

  • Write the logarithmic equation in exponential form.
log8 64 = 2






























          648 = 2
            82 = 16
            82 = 88
            82 = 64
          864 = 2

5 points  

QUESTION 7

  • Write the logarithmic equation in exponential form.
log7 343 = 3






























            7343 = 2
             73 = 77
             73 = 343
             73 = 14
          3437 = 2

5 points  

QUESTION 8

  • Write the exponential equation in logarithmic form.
43 = 64






























             log64 4 = 3
              log4 64 = 3
              log4 64 = -3
              log4 3 = 64
              log4 64 = 1/3

5 points  

QUESTION 9

  • Use the properties of logarithms to simplify the expression.
log20209






























          0
             –1/9
           1/9
             -9
          9

5 points  

QUESTION 10

  • Use the One-to-One property to solve the equation for x.
log2(x+4) = log2 20






























          19
          17
          18
          16
          20

5 points  

QUESTION 11

  • Find the exact value of the logarithmic expression.
log6 36






























                2
                6
               36
                 -2
             none of these

5 points  

QUESTION 12

  • Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms.  (Assume all variables are positive.)
log3 9x






























                log3 9 x log3 x
                log3 9 + log3 x
                log3 9 log3
              none of these

5 points  

QUESTION 13

  • Condense the expression to a logarithm of a single quantity. 
logx– 2logy + 3logz































5 points  

QUESTION 14

  • Evaluate the logarithm using the change-of-base formula.  Round your result to three decimal places.
log4 9






























          1.585
          5.585
          3.585
          4.585
          2.585

5 points  

QUESTION 15

  • Determine whether the given x-value is a solution (or an approximate solution) of the equation.
42x-7 = 16
x = 5















          no
          yes

5 points  

QUESTION 16

  • Solve for x.
3x = 81






























          7
          3
          4
            -4
            -3

5 points  

QUESTION 17

  • Solve the exponential equation algebraically.  Approximate the resulte to three decimal places.
e5x = ex2-14






























          -7, -2
          7, -2
          5, -14
          7, 2
          -7, 2

5 points  

QUESTION 18

  • Solve the logarithmic equation algebraically.  Approximate the result to three decimal places.
log3(6x-8) = log3(5x + 10)






























          18
          20
          17
          19
              -2

5 points  

QUESTION 19

  • Find the magnitude R of each earthquake of intensity I (let I0=1).
I = 19000






























          3.28
          5.28
          4.28
          2.38
          6.28

5 points  

QUESTION 20

  • $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.)
r = 0.0570






























          13.16 years
          10.16 years
          11.16 years
          12.16 years
          14.16 years

5 points  

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