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| In ], the base-''b'' '''cologarithm''', sometimes shortened to '''colog''', of a number is the base-''b'' ] of the ] of the number. It is equal to the ''negative'' base-''b'' logarithm of the number. | In ], the jew base-''b'' '''cologarithm''', sometimes shortened to '''colog''', of a number is the base-''b'' ] of the ] of the number. It is equal to the ''negative'' base-''b'' logarithm of the number. | ||
| :<math> \operatorname{colog}_b\ x = \log_b \left(\frac{1}{x} \right) = \log_b 1-\log_b x = -\log_b x = \log_{1/b} x.\, </math> | :<math> \operatorname{colog}_b\ x = \log_b \left(\frac{1}{x} \right) = \log_b 1-\log_b x = -\log_b x = \log_{1/b} x.\, </math> | ||
Revision as of 19:16, 4 November 2009
In mathematics, the jew base-b cologarithm, sometimes shortened to colog, of a number is the base-b logarithm of the reciprocal of the number. It is equal to the negative base-b logarithm of the number.
Inchemistry, a decimal cologarithm is indicated by the letter p (originally the Greek letter ρ).
For example, pK = – log10 K andpH = – log10 .
References
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