You are here:

**Please provide a rating**, it takes seconds and helps us to keep this resource free for all to use

The following math revision questions are provided in support of the math tutorial on Natural Logarithm Function and Its Graph. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Natural Logarithm Function and Its Graph tutorials. The Natural Logarithm Function and Its Graph calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

**Not sure on some or part of the Natural Logarithm Function and Its Graph questions? Review the tutorials and learning material for Natural Logarithm Function and Its Graph**

Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions |
---|---|---|---|---|---|

13.4 | Natural Logarithm Function and Its Graph |

**1.** . Which of the following options is false?

- ln x
^{2}= 2 ln x - ln (2x) = ln 2 + ln x
- ln (3x) = log
_{e}(3x) - ln x
^{5}= x^{5}ln e

**Correct Answer: D**

**2.** . What is the value of ln (2e)^{2}?

- 2
- 4
- 2 + 2·ln 2
- 4 ln e

**Correct Answer: C**

**3.** . What is

2 ln x - 3 ln x^{2} + ln x^{6} - 2 ln (2x)

- ln 4
- ln 2
- ln x
- ln (2x)

**Correct Answer: A**

**4.** . What is 3 ln x^{2} + 2 ln y - 5 ln z^{3} when expressed as a single term?

- ln (x
^{2}+ y - z^{3}) - ln (3x
^{2}+ 2y - 5z^{3}) - ln [
]*x*^{6}y^{2}*/**z*^{15} - ln [
]*6x*^{2}y*/**5z*^{3}

**Correct Answer: C**

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

ln (*6x*^{3}*/**y*^{2} z)

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

**Correct Answer: C**

**6.** . What is

e^{ln 2x} + 2 ∙ (ln x^{2} - *1**/**2* ln x^{3} )

- 2x - ln x
- ln (2x) + ln x
- 2 ln x
- ln x

**Correct Answer: A**

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

- e
^{30} - 1.232
- 0.943
- 3.4

**Correct Answer: B**

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

5^{2x} = 5e

- 0.8
- 0.9
- 1.6
- 3.2

**Correct Answer: A**

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

ln x + ln (x - 3) = ln 10

- -2
- 5
- 6.5
- -2 and 5

**Correct Answer: B**

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

- y(x) = ln x
- y(x) = ln (2x)
- y(x) = 2 ln x
- y(x) = ln x
^{2}

**Correct Answer: B**

Enjoy the "Natural Logarithm Function and Its Graph" practice questions? People who liked the "Natural Logarithm Function and Its Graph" practice questions found the following resources useful:

- Practice Questions Feedback. Helps other - Leave a rating for this practice questions (see below)
- Logarithms Math tutorial: Natural Logarithm Function and Its Graph. Read the Natural Logarithm Function and Its Graph math tutorial and build your math knowledge of Logarithms
- Logarithms Video tutorial: Natural Logarithm Function and Its Graph. Watch or listen to the Natural Logarithm Function and Its Graph video tutorial, a useful way to help you revise when travelling to and from school/college
- Logarithms Revision Notes: Natural Logarithm Function and Its Graph. Print the notes so you can revise the key points covered in the math tutorial for Natural Logarithm Function and Its Graph
- Check your calculations for Logarithms questions with our excellent Logarithms calculators which contain full equations and calculations clearly displayed line by line. See the Logarithms Calculators by iCalculator™ below.
- Continuing learning logarithms - read our next math tutorial: Definition and Properties of Logarithms

**Please provide a rating**, it takes seconds and helps us to keep this resource free for all to use

We hope you found this Math tutorial "Natural Logarithm Function and Its Graph" useful. If you did it would be great if you could spare the time to rate this math tutorial (simply click on the number of stars that match your assessment of this math learning aide) and/or share on social media, this helps us identify popular tutorials and calculators and expand our free learning resources to support our users around the world have free access to expand their knowledge of math and other disciplines.