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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> . | In], a decimal cologarithm is indicated by the letter p (origonally the Greek letter ρ){{fact}}.<br />For example, ] = – log<sub>10</sub> ''K'' and] = – log<sub>10</sub> . | ||
| == References == | == References == | ||
Revision as of 09:34, 9 June 2009
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 (origonally the Greek letter ρ).
For example, pK = – log10 K andpH = – log10 .
References
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