Natural Logarithm Worksheet
This worksheet focuses on natural logarithms, their properties, and applications for Grade 12 students.
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Standards
Topics
Natural Logarithm Worksheet
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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
10
2. Which of the following is equivalent to ln(e^x)?
x
1
e
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)
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