| Revision as of 04:15, 1 March 2013 editAddbot (talk | contribs)Bots2,838,809 editsm Bot: Migrating 4 interwiki links, now provided by Wikidata on d:q2261345← Previous edit | Revision as of 02:30, 17 April 2014 edit undo76.114.170.122 (talk) log_b (1/x) does not equal log_(1/b) (x). :'(Next edit → | ||
| Line 1: | Line 1: | ||
| In ], the base-''b'' '''cologarithm''', sometimes shortened to '''colog''', of a number is the base-''b'' ] of the ] of the number. It is equal to the ''negative'' base-''b'' logarithm of the number. | In ], the base-''b'' '''cologarithm''', sometimes shortened to '''colog''', of a number is the base-''b'' ] of the ] of the number. It is equal to the ''negative'' base-''b'' logarithm of the number. | ||
| :<math> \operatorname{colog}_b\ x = \log_b \left(\frac{1}{x} \right) = \log_b 1-\log_b x = -\log_b x |
:<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 (originally the Greek letter ρ){{Fact|date=June 2009}}.<br />For example, ] = – log<sub>10</sub> ''K'' and ] = – log<sub>10</sub> . | ||
Revision as of 02:30, 17 April 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 (originally the Greek letter ρ).
For example, pK = – log10 K and pH = – log10 .
References
 | This algebra-related article is a stub. You can help Misplaced Pages by expanding it. |