Natural Logarithm Worksheet

This worksheet focuses on natural logarithms, their properties, and applications for Grade 12 students.

Grade 12 Math LogarithmsNatural Logarithm

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustomLong Answer

Standards

CCSS.MATH.CONTENT.HSF.BF.B.5CCSS.MATH.CONTENT.HSF.LE.A.4

Topics

natural logarithmlogarithmsecalculusgrade 12 math

8 sections · Free to use · Printable

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Date:

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. What is the approximate value of the base of the natural logarithm, 'e'?

1.618

2.718

3.141

2. Which of the following is equivalent to ln(e^x)?

ln(x)

3. The natural logarithm is the logarithm to the base .

4. The domain of the natural logarithm function, ln(x), is x > .

5. Explain the relationship between the natural logarithm and the exponential function e^x.

6. The natural logarithm of 1 is 0.

True

False

7. ln(x + y) = ln(x) + ln(y) is a valid property of natural logarithms.

True

False

8. Sketch the graph of y = ln(x) on the coordinate plane below. Label any intercepts or asymptotes.

9. Solve for x: ln(x) + ln(x - 2) = ln(3)