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MA 105 Week 7 Assignment 20/20 Correct Answers

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

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

QUESTION 3

Select the graph of the function.

f(x) = 5x-1

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

1169.823

1369.823

1569.823

1269.823

1469.823

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

QUESTION 6

Write the logarithmic equation in exponential form.

log8 64 = 2

648 = 2

82 = 16

82 = 88

82 = 64

864 = 2

QUESTION 7

Write the logarithmic equation in exponential form.

log7 343 = 3

7343 = 2

73 = 77

73 = 343

73 = 14

3437 = 2

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

QUESTION 9

Use the properties of logarithms to simplify the expression.

log20 209

0

–1/9

1/9

-9

9

QUESTION 10

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

log2(x+4) = log2 20

19

17

18

16

20

QUESTION 11

Find the exact value of the logarithmic expression.

log6 36

2

6

36

-2

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

log3 9 x log3 x

log3 9 + log3 x

log3 9 log3

none of these

QUESTION 13

Condense the expression to a logarithm of a single quantity.

logx – 2logy + 3logz

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

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

QUESTION 16

Solve for x.

3x = 81

7

3

4

-4

-3

QUESTION 17

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

e5x = ex2-14

-7, -2

7, -2

5, -14

7, 2

-7, 2

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

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

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

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