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| :<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> | ||
| In], a decimal cologarithm is indicated by the letter p. For example, ] = – log<sub>10</sub> ''K'' and] = – log<sub>10</sub> {H<sup>+</sup>} | |||
| == References == | == References == | ||
Revision as of 09:27, 6 August 2008
In mathematics, the 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. For example, pK = – log10 K andpH = – log10 {H}