| Revision as of 02:30, 17 April 2014 edit76.114.170.122 (talk) log_b (1/x) does not equal log_(1/b) (x). :'(← Previous edit | Revision as of 18:58, 14 June 2014 edit undoHeron (talk | contribs)Administrators29,255 edits the bit about pH contradicted the pH article, so I've removed the contradictory statementNext edit → | ||
| Line 2: | Line 2: | ||
| :<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 (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. 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''. | |||
| == References == | == References == | ||
Revision as of 18:58, 14 June 2014
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 pK was later defined as –log10 K.
References
 | This algebra-related article is a stub. You can help Misplaced Pages by expanding it. |