Natural Logarithm Function and Its Graph

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Natural Logarithm Function and Its Graph Revision Questions

1. . Which of the following options is false?

1. ln x² = 2 ln x
2. ln (2x) = ln 2 + ln x
3. ln (3x) = log_e (3x)
4. ln x⁵ = x⁵ ln e

Reveal AnswerCorrect Answer: D

2. . What is the value of ln (2e)²?

1. 2
2. 4
3. 2 + 2·ln 2
4. 4 ln e

Reveal AnswerCorrect Answer: C

3. . What is

1. ln 4
2. ln 2
3. ln x
4. ln (2x)

Reveal AnswerCorrect Answer: A

4. . What is 3 ln x² + 2 ln y - 5 ln z³ when expressed as a single term?

1. ln (x² + y - z³)
2. ln (3x² + 2y - 5z³)
3. ln [x⁶y²/z¹⁵]
4. ln [6x²y/5z³]

Reveal AnswerCorrect Answer: C

5. . What is the expanded form of the natural logarithm below?

1. 3 ln (6x) - 2 ln y - ln z
2. 18 ln x - 2 ln y + ln z
3. 18 ln x - 2 ln y - ln z
4. 9 ln x - ln y + ln z

Reveal AnswerCorrect Answer: C

6. . What is

1. 2x - ln x
2. ln (2x) + ln x
3. 2 ln x
4. ln x

Reveal AnswerCorrect Answer: A

7. . If we take ln 2 = 0.7, ln 3 = 1.1 and ln 5 = 1.6, then what is ln 30?

1. e³⁰
2. 1.232
3. 0.943
4. 3.4

Reveal AnswerCorrect Answer: B

8. . What is the value of x in the equation below to one decimal place?

1. 0.8
2. 0.9
3. 1.6
4. 3.2

Reveal AnswerCorrect Answer: A

9. . What is the value of x in the equation

1. -2
2. 5
3. 6.5
4. -2 and 5

Reveal AnswerCorrect Answer: B

10. . What is the function represented by the graph below?

1. y(x) = ln x
2. y(x) = ln (2x)
3. y(x) = 2 ln x
4. y(x) = ln x²

Reveal AnswerCorrect Answer: B

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6. Continuing learning logarithms - read our next math tutorial: Definition and Properties of Logarithms

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