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Template:Log
From OeisWiki
(Redirected from Template:Ln)
The following documentation is located at Template:Log/doc. [<Edit> Template:Log/doc]
[⧼Purge⧽ Template:Log]
[⧼Purge⧽ Template:Log]
The {{log}} (alternatively {{log_e}} or {{ln}}) mathematical function template returns the natural logarithm of , where is a positive real number.
You may also use ln with the parser function extension #expr:, e.g.
- {{#expr: ln 15 }} giving 2.7080502011022
Contents
Usage
- {{log|a positive real number}}
or
- {{log_e|a positive real number}}
or
- {{ln|a positive real number}}
Valid input
- A positive real number as argument.
Examples
Examples with valid input
Code Result {{ln|e^(-1)}} -1 {{ln|e^(-0.5)}} -0.5 {{ln|0.5}} -0.69314718055995 {{log|1}} 0 {{ln|1.5}} 0.40546510810816 {{ln|e^({{phi}})}} 1.6180339887499 {{log_e|10}} 2.302585092994 {{ln|1.5*e^4}} 4.4054651081082 {{log|1000}} 6.9077552789821 {{log|e^40}} 40 {{log|e^25 * e^40}} 65
Examples with invalid input (returns an error message)
Code Result {{log|i}} Log error: Argument must be a positive real number {{log|-1}} Log error: Argument must be a positive real number {{log|0}} Log error: Argument must be a positive real number
Code
<noinclude>{{documentation}}</noinclude><includeonly>{{ifnum| {{{1|NaN}}} | {{#ifexpr: ( {{{1}}} ) > 0 | {{#expr: ln ( {{{1}}} ) }} | {{error| Log error: Argument must be a positive real number }} }} | {{error| Log error: Argument must be a positive real number }} }}</includeonly>