Difference between revisions of "Natural logarithm"

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(Redirected page to Logarithm#Natural Logarithm)
 
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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.)
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#REDIRECT [[Logarithm#Natural Logarithm]]
 
 
 
 
== Calculus definition ==
 
In calculus, the natural logarithm is defined by <math>\ln(x) = \int_1^x \frac 1x \ dx</math>.
 
 
 
 
 
[[Category:Definition]]
 
 
 
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Latest revision as of 15:32, 4 November 2012