MA 105 WEEK 7

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Home>Homework Answsers>Mathematics homework help>Algebra homework help

 

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

 

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-0.308

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1.7

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0.308

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0.5

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-1.7

 

Question 2

 

 

 

Match the graph with its exponential function.

 

https://content.grantham.edu/at/MA105/exams/w7_2.jpg

 

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y = 2-x - 3

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y = -2x + 3

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y = 2x + 3

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y = 2x - 3

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y = -2x - 3

 

Question 3

 

 

 

Select the graph of the function.

 

f(x) = 5x-1

 

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https://content.grantham.edu/at/MA105/exams/w7_3_a.jpg

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https://content.grantham.edu/at/MA105/exams/w7_3_b.jpg

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https://content.grantham.edu/at/MA105/exams/w7_3_c.jpg

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https://content.grantham.edu/at/MA105/exams/w7_3_d.jpg

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https://content.grantham.edu/at/MA105/exams/w7_3_e.jpg

 

Question 4

 

 

 

Evaluate the function at the indicated value of x.  Round your result to three decimal places.

 

Function: f(x) = 500e0.05x    Value: x=17

 

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1169.823

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1369.823

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1569.823

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1269.823

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1469.823

 

Question 5

 

 

 

Use the One-to-One property to solve the equation for x.

 

e3x+5 = e6

 

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x = -1/3

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x2 = 6

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x = -3

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x = 1/3

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x = 3

 

Question 6

 

 

 

Write the logarithmic equation in exponential form.

 

log8 64 = 2

 

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648 = 2

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82 = 16

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82 = 88

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82 = 64

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864 = 2

 

Question 7

 

 

 

Write the logarithmic equation in exponential form.

 

log7 343 = 3

 

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7343 = 2

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73 = 77

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73 = 343

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73 = 14

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3437 = 2

 

Question 8

 

 

 

Write the exponential equation in logarithmic form.

 

43 = 64

 

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log64 4 = 3

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log4 64 = 3

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log4 64 = -3

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log4 3 = 64

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log4 64 = 1/3

 

Question 9

 

 

 

Use the properties of logarithms to simplify the expression.

 

log20 209

 

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0

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-1/9

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1/9

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-9

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9

 

Question 10

 

 

 

Use the One-to-One property to solve the equation for x.

 

log2(x+4) = log2 20

 

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19

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17

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18

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16

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20

 

Question 11

 

 

 

Find the exact value of the logarithmic expression.

 

log6 36

 

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2

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6

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36

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-2

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none of these

 

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

 

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https://content.grantham.edu/at/MA105/exams/w7_12_a.jpg

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log3 9 x log3 x

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log3 9 + log3 x

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log3 9 log3

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none of these

 

Question 13

 

 

 

Condense the expression to a logarithm of a single quantity. 

 

logx - 2logy + 3logz

 

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https://content.grantham.edu/at/MA105/exams/w7_13_a.jpg

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https://content.grantham.edu/at/MA105/exams/w7_13_b.jpg

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https://content.grantham.edu/at/MA105/exams/w7_13_c.jpg

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https://content.grantham.edu/at/MA105/exams/w7_13_d.jpg

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https://content.grantham.edu/at/MA105/exams/w7_13_e.jpg

 

Question 14

 

 

 

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

 

log4 9

 

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1.585

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5.585

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3.585

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4.585

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2.585

 

Question 15

 

 

 

Determine whether the given x-value is a solution (or an approximate solution) of the equation.

 

42x-7 = 16

 

x = 5

 

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no

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yes

 

Question 16

 

 

 

Solve for x.

 

3x = 81

 

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7

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3

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4

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-4

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-3

 

Question 17

 

 

 

Solve the exponential equation algebraically.  Approximate the resulte to three decimal places.

 

e5x = ex2-14

 

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-7, -2

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7, -2

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5, -14

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7, 2

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-7, 2

 

Question 18

 

 

 

Solve the logarithmic equation algebraically.  Approximate the result to three decimal places.

 

log3(6x-8) = log3(5x + 10)

 

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18

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20

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17

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19

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-2

 

Question 19

 

 

 

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

 

I = 19000

 

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3.28

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5.28

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4.28

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2.38

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6.28

 

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

 

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13.16 years

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10.16 years

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11.16 years

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12.16 years

 

 

 

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