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Questions and Answers
What is the natural logarithm of 7.5?
What is the natural logarithm of 7.5?
- $ln 7.5 = 0.6931$
- $ln 7.5 = 1.3863$
- $ln 7.5 = 3.1781$
- $ln 7.5 = 2.0149$ (correct)
How is the natural logarithm of x generally written?
How is the natural logarithm of x generally written?
- log$_{10}$ x
- log$_e$ x
- ln x (correct)
- log x
What is the natural logarithm of e?
What is the natural logarithm of e?
- $ln e = 2$
- $ln e = 0$
- $ln e = 0.5$
- $ln e = 1$ (correct)
What does the natural logarithm of 1 equal to?
What does the natural logarithm of 1 equal to?
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How can the natural logarithm be defined for any positive real number a?
How can the natural logarithm be defined for any positive real number a?
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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.
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