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

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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