5 Questions
What is the natural logarithm of 7.5?
$ln 7.5 = 2.0149$
How is the natural logarithm of x generally written?
ln x
What is the natural logarithm of e?
$ln e = 1$
What does the natural logarithm of 1 equal to?
$ln 1 = 0$
How can the natural logarithm be defined for any positive real number a?
As the area under the curve $y = 1/x$ from 1 to a
Study Notes
Natural Logarithm
- The natural logarithm of 7.5 is approximately 2.01.
- The natural logarithm of x is generally written as ln(x).
- The natural logarithm of e is equal to 1, since e is the base of the natural logarithm.
- The natural logarithm of 1 is equal to 0, since any number raised to the power of 0 is 1.
- The natural logarithm can be defined for any positive real number a as the power to which the base e must be raised to produce a.
Test your knowledge of natural logarithms and the mathematical constant e with this quiz. Explore the properties and applications of natural logarithms, and gain a deeper understanding of their significance in mathematics and science.
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