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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 (originally the Greek letter ρ){{Fact|date=June 2009}}.<br />For example, ] = – log<sub>10</sub> ''K'' and] = – log<sub>10</sub> . | In ], a decimal cologarithm is indicated by the letter p (originally the Greek letter ρ){{Fact|date=June 2009}}.<br />For example, ] = – log<sub>10</sub> ''K'' and ] = – log<sub>10</sub> . | ||
== References == | == References == |
Revision as of 17:53, 6 April 2010
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.
In chemistry, a decimal cologarithm is indicated by the letter p (originally the Greek letter ρ).
For example, pK = – log10 K and pH = – log10 .
References
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