Calculus

QUESTION 1

  1. Solve the equation.

    2x2 3= 64

{6}
{3}
{3, -3}
{, – }

4 points   

QUESTION 2

  1. Solve the equation.

    92x∙  27(3  x) =

{10}
{-8}
{-11}

4 points   

QUESTION 3

  1. Solve the equation.

    e 5 = + 3

{8/5}
{-17/3}
{-7/5}
{-8/3}

4 points   

 

 

 

 

 

 

 

QUESTION 4

  1. Solve the equation.

    9 ln 5x =36

{e4}

4 points   

QUESTION 5

  1. Solve the equation.

    (16) x+1=(2/4)x1

{3/5}
{-3/5}
{-6/5}
{-3/10}

4 points   

QUESTION 6

  1. Solve the equation.

    1253x – 2= 255x

{-1/6)
{1/6}
{6}
{-6}

points   

QUESTION 7

  1. Solve the equation.

    log2(3x -2) – log2(x – 5) = 4

{3/13}
{18}
38/5
{6}

4 points   

QUESTION 8

  1. Solve the equation.

    log5(x + 1) =1 + log5(x – 1)

4 points   

QUESTION 9

  1. Solve the equation.

    e6x 1 = (e4)x

{0}

4 points   

QUESTION 10

  1. Solve the equation.

    log35(x + 70) =3 – log35x

{-245}
{245}
{-175}
{175}

4 points   

 

 

 

 

 

 

QUESTION 11

  1. Solve the equation.

    5(9 – 2x)= 3125

{2}
{1}
{3}
{-2}

4 points   

QUESTION 12

  1. Solve the equation.

    e2x= 7

{2 ln 7}

4 points   

QUESTION 13

  1. Solve the problem.

    f(x) =log3(x + 1) and g(x) = log3(x – 1).
    Solve f(x) = What point is on the graph of f?

{8}, (2, 7)
{2186}, (2186, 7)
{2}, (2, 9)
{8}, (2, 3)

4 points   

QUESTION 14

  1. Solve the equation.

    log42(x2 – x) = 1

{1, 42}
{-6, -7}
{-6, 7}
{6, 7}

4 points   

 

 

 

QUESTION 15

  1. Solve the equation.

    e+ 6 = 8

{e8 + 6}
{ln 8 – 6}
{e48}
{ln 14}

4 points   

QUESTION 16

  1. Solve the equation.

    ln  = 2

{e4 – 2}
{e4 + 2}
{e2 – 2}

4 points   

QUESTION 17

  1. Solve the equation.

    log3(x – 5) +log3(x – 11) = 3

{14, 2}
{15}
{2}
{14}

4 points   

QUESTION 18

  1. Solve the equation.

    163 = 83x

4 points   

QUESTION 19

  1. Solve the equation. Express irrational answers in exact form and as a decimal rounded to 3 decimal places.

    ln x +ln (x + 5) = -3

≈ 2.505
-5 + ≈ 0.020
≈ -5.010
 ≈ 0.010

4 points   

QUESTION 20

  1. Solve the equation.

    125x= 25

4 points   

QUESTION 21

  1. Solve the problem.

    f(x) =log6(x + 3) and g(x) = log6(x – 2).
    Solve g(x) = What point is on the graph of g?

{214}, (214, 3)
{3}, (3, 218)
{216}, (216, 3)
{218}, (218, 3)

4 points   

QUESTION 22

  1. Solve the equation.

    (ex)x∙ e24 = e11x

{8}
{3, 8}
{-3, -8}
{3}

4 points   

QUESTION 23

  1. Solve the equation.

    6x + 3 = 9x 4

4 points   

QUESTION 24

  1. Solve the equation.

    3 +8 ln x = 10

{e 7/8}

4 points   

QUESTION 25

  1. Solve the equation.

    2 +log3(2x + 5) – log3 x = 4

4 points   

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