| 21. | When using the natural logarithm of base \ displaystyle e, the unit will be the hartley.
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| 22. | The maximum is at x = e, where " e " denotes the base of natural logarithms.
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| 23. | The natural logarithm of is the first Chebyshev function, written or, which approaches the linear for large.
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| 24. | This observation led to the natural logarithm.
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| 25. | The book contained fifty-seven pages of explanatory matter and ninety pages of tables related to natural logarithms.
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| 26. | With e being the base of natural logarithms, and a and b being arbitrary positive real constants.
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| 27. | This formula is a special case of the Mercator series, the Taylor series for the natural logarithm.
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| 28. | E-- formally known as the base of the natural logarithm-- begins 2 . 718281828 and goes on forever.
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| 29. | If, this is equal to the exponential of the arithmetic mean of the natural logarithms of the numbers:
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| 30. | In physics and also in computation of Theil index, the natural logarithm is chosen as the logarithmic base.
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