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{{Merge|Logarithm|date=October 2006}}

In ], the base-''b'' '''cologarithm''' of a number, sometimes shortened to '''colog''', is the base-''b'' ] of the ] of the number. This means that In ], the base-''b'' '''cologarithm''' of a number, sometimes shortened to '''colog''', is the base-''b'' ] of the ] of the number. This means that


Revision as of 21:14, 15 July 2007

In mathematics, the base-b cologarithm of a number, sometimes shortened to colog, is the base-b logarithm of the multiplicative inverse of the number. This means that

colog b ⁡   x = log b ⁡ ( 1 x ) = − log b ⁡ x = log 1 / b ⁡ x . {\displaystyle \operatorname {colog} _{b}\ x=\log _{b}\left({\frac {1}{x}}\right)=-\log _{b}x=\log _{1/b}x.\,}

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