Template:Log 2/doc

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The {{log_2}} mathematical function template returns the binary logarithm of $\scriptstyle x\,$, where $\scriptstyle x\,$ is a positive real number.

Usage

{{log_2|a positive real number}}

Valid input

A positive real number as argument.

Examples

Examples with valid input

Code	Result
{{log_2|0.5}}	-1
{{log_2|1}}	0
{{log_2|1.5}}	0.58496250072116
{{log_2|2}}	1
{{log_2|6}}	2.5849625007212
{{log_2|8}}	3
{{log_2|2^40}}	40

Examples with invalid input (returns an error message)

Code	Result
{{log_2|i}}
{{log_2|-1}}
{{log_2|0}}

Code

<noinclude>{{documentation}}</noinclude><includeonly>{{ifnum| {{{1|NaN}}}
| {{#ifexpr: ( {{{1}}} ) > 0
  | {{#expr: ln ( {{{1}}} ) / ln 2 }}
  | {{error| Log_2 error: Argument must be a positive real number }}
  }}
| {{error| Log_2 error: Argument must be a positive real number }}
}}</includeonly>

See also

• {{log}} or {{log_e}} or {{ln}}
• {{log_2}}
• {{log_10}}
• {{log_b}}