| Revision as of 18:58, 14 June 2014 editHeron (talk | contribs)Administrators29,256 edits the bit about pH contradicted the pH article, so I've removed the contradictory statement← Previous edit | Revision as of 16:03, 9 July 2015 edit undo93.136.25.160 (talk)No edit summaryNext edit → | ||
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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 \, </math> | :<math> \operatorname{colog}_b\ x = \log_b \left(\frac{1}{x} \right) = \log_b 1-\log_b x = -\log_b x \, </math> | ||
| In ], a decimal cologarithm is indicated by the letter p. This usage originated with the quantity ], defined as –log<sub>10</sub> . Based on pH, the quantity ] was later defined as –log<sub>10</sub> ''K''. | In ], a decimal cologarithm is indicated by the letter p. This usage originated with the quantity ], defined as –log<sub>10</sub> . Based on pH, the quantity ] was later defined as –log<sub>10</sub> ''K''<sub>a</sub>. | ||
| == References == | == References == | ||
Revision as of 16:03, 9 July 2015
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. This usage originated with the quantity pH, defined as –log10 . Based on pH, the quantity pKa was later defined as –log10 Ka.
References
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