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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

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

References

• Meriam Webster definition of cologarithm
• "Cologarithm." From MathWorld--A Wolfram Web Resource.

• Special functions