# Mathematics

6/10/16, 11:46 PMSec 5.1 HW Assignment

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Current Score : 11 / 122 Due : Tuesday, June 14 2016 12:00 AM CDT

1. 0/2 points | Previous AnswersLarCalc9 5.1.003.

Use a graphing utility to evaluate the logarithm by the methods given below. (Round your answers to four decimal places.)

ln(24)

(a) Use the natural logarithm key. 3.1780

(b) Use the integration capabilities to evaluate the integral .

3.1780

2. –/2 pointsLarCalc9 5.1.006.

Use a graphing utility to evaluate the logarithm by the methods given below. (Round your answers to four decimal places.)

ln(0.30)

(a) Use the natural logarithm key.

(b) Use the integration capabilities to evaluate the integral .

Sec 5.1 HW Assignment (Homework)

ahmed alarbash MATH 21414, section 13539, Summer 1 2016 Instructor: Mahmoud Basharat

WebAssign

dt 24 1

t1

dt 0.30 1

t1

6/10/16, 11:46 PMSec 5.1 HW Assignment

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3. 1/1 points | Previous AnswersLarCalc9 5.1.008.

Match the function with its graph.

f(x) = –ln(x/6)

6/10/16, 11:46 PMSec 5.1 HW Assignment

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4. 1/1 points | Previous AnswersLarCalc9 5.1.010.

Match the function with its graph.

f(x) = –ln(x – 9)

5. 2/2 points | Previous AnswersLarCalc9 5.1.011.

Sketch the graph of the function.

f(x) = 8 ln(x)

6/10/16, 11:46 PMSec 5.1 HW Assignment

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State the domain of the function.

−∞ < x ≤ 0

−∞ < x < 0

0 ≤ x ≤ ∞

0 < x < ∞

6/10/16, 11:46 PMSec 5.1 HW Assignment

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6. 2/2 points | Previous AnswersLarCalc9 5.1.014.

Sketch the graph of the function.

State the domain of the function.

f(x) = ln(|x|)

6/10/16, 11:46 PMSec 5.1 HW Assignment

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7. 2/2 points | Previous AnswersLarCalc9 5.1.016.

Sketch the graph of the function.

f(x) = 4 ln(x) + 2

x < 0

all reals

x ≠ 0

x > 0

6/10/16, 11:46 PMSec 5.1 HW Assignment

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State the domain of the function.

−∞ < x < 0

0 ≤ x < ∞

x > 0

x > -1

6/10/16, 11:46 PMSec 5.1 HW Assignment

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8. 3/4 points | Previous AnswersLarCalc9 5.1.020.MI.

Use the properties of logarithms, given that ln 2 ≈ 0.6931 and ln 3 ≈ 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations.

(a) ln 0.25 ≈ -1.3862

(b) ln 24 ≈ 3.1780

(c) ≈ 0.8283

(d) ≈ -4.2766

9. 0/1 points | Previous AnswersLarCalc9 5.1.021.

Use the properties of logarithms to expand the logarithmic expression.

1x

ln 12 3

ln 1 72

ln x 49

6/10/16, 11:46 PMSec 5.1 HW Assignment

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10.–/1 pointsLarCalc9 5.1.023.

Use the properties of logarithms to expand the logarithmic expression.

11.–/1 pointsLarCalc9 5.1.026.MI.

Use the properties of logarithms to expand the logarithmic expression.

12.–/3 pointsLarCalc9 5.1.026.MI.SA.

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.

Tutorial Exercise Use the properties of logarithms to expand the logarithmic expression.

ln xa w

ln a − 1

ln a − 26

6/10/16, 11:46 PMSec 5.1 HW Assignment

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13.–/1 pointsLarCalc9 5.1.027.

Use the properties of logarithms to expand the logarithmic expression.

14.–/1 pointsLarCalc9 5.1.031.

Write the expression as a logarithm of a single quantity.

15.–/1 pointsLarCalc9 5.1.033.

Write the expression as the logarithm of a single quantity.

ln x − 78

x

ln(x − 88) − ln(x + 86)

4 ln(x + 7) + ln(x) − ln(x2 − 8) 1 3

6/10/16, 11:46 PMSec 5.1 HW Assignment

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16.–/1 pointsLarCalc9 5.1.034.MI.

Write the expression as a logarithm of a single quantity.

17.–/10 pointsLarCalc9 5.1.034.MI.SA.

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.

Tutorial Exercise Write the expression as a logarithm of a single quantity.

18.–/1 pointsLarCalc9 5.1.035.

Write the expression as the logarithm of a single quantity.

2 [ln x − ln(x + 3) − ln(x − 3)]

7 [ln x − ln(x + 4) − ln(x − 4)]

3 ln(2) − ln(x2 + 2)1 2

6/10/16, 11:46 PMSec 5.1 HW Assignment

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19.–/1 pointsLarCalc9 5.1.036.

Write the expression as a logarithm of a single quantity.

20.–/1 pointsLarCalc9 5.1.039.

Find the limit. (If you need to use or – , enter INFINITY or –INFINITY, respectively. Round your answer to four decimal places.)

21.–/1 pointsLarCalc9 5.1.041.

Find the limit. (If you need to use or – , enter INFINITY or –INFINITY, respectively. Round your answer to four decimal places.)

ln(x2 + 5) − ln(x + 8) − ln(x − 8) 7 2

ln(x − 9)lim x→9+

ln x2(6 − x)lim x→5−

6/10/16, 11:46 PMSec 5.1 HW Assignment

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