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− | The '''natural logarithm''' is the [[logarithm]] with [[base]] [[e]]. It is usually denoted <math>\ln</math>, an abbreviation of the French ''logarithme normal'', so that <math> \ln(x) = \log_e(x).</math> However, in higher mathematics such as [[complex analysis]], the base 10 logarithm is typically disposed with entirely, the symbol <math>\log</math> is taken to mean the logarithm base e and the symbol <math>\ln</math> is not used at all. (This is an example of conflicting [[mathematical convention]]s.)
| + | #REDIRECT [[Logarithm#Natural Logarithm]] |
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− | == Calculus definition ==
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− | In calculus, the natural logarithm is defined by <math>\ln(x) = \int_1^x \frac 1x \ dx</math>.
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− | [[Category:Definition]]
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− | ----
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