Cologarithm

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.

$\operatorname{colog}_b\ x = \log_b \left(\frac{1}{x} \right) = \log_b 1-\log_b x = -\log_b x = \log_{1/b} x.\,$

In chemistry, a decimal cologarithm is indicated by the letter p (originally the Greek letter ρ)^{[citation needed]}.
For example, pK = – log₁₀ K and pH = – log₁₀ [H₃O⁺].

References

• Meriam Webster definition of cologarithm
• "Cologarithm." From MathWorld--A Wolfram Web Resource.

This algebra-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Algebra stubs Special functions Wikimedia Foundation. 2010. Игры ⚽ Поможем решить контрольную работу Kingo Sunen Come Pick Me Up Look at other dictionaries: cologarithm — (ˈ)kō+ noun ( s) Etymology: co + logarithm : the logarithm of the reciprocal * * * /koh law geuh ridh euhm, rith euhm, log euh /, n. Math. the logarithm of the reciprocal of a number, often used in expressing the logarithm of a fraction: log 7/25 …   Useful english dictionary cologarithm — noun Date: 1881 the logarithm of the reciprocal of a number …   New Collegiate Dictionary cologarithm — /koh law geuh ridh euhm, rith euhm, log euh /, n. Math. the logarithm of the reciprocal of a number, often used in expressing the logarithm of a fraction: log 7/25 = log 7 + colog 25. Symbol: colog [1880 85; CO + LOGARITHM] * * * …   Universalium cologarithm — noun The logarithm of the reciprocal of a number (equal to the negative of the original logarithm) …   Wiktionary cologarithm — co·logarithm …   English syllables cologarithm — co•log•a•rithm [[t]koʊˈlɔ gəˌrɪð əm, ˌrɪθ əm, ˈlɒg ə [/t]] n. math. the logarithm of the reciprocal of a number, often used in expressing the logarithm of a fraction • Etymology: 1880–85 …   From formal English to slang colog — • cologarithm …   Maritime acronyms and abbreviations colog — /koh lawg, log/, n. Symbol, Math. cologarithm. * * * colog /kōˈlog/ (mathematics) noun A cologarithm ORIGIN: Short form * * * colog (no period) or colog., cologarithm …   Useful english dictionary Hydroxide — Lewis structure of the hydroxide ion showing three lone pairs on the oxygen atom …   Wikipedia colog — abbreviation cologarithm …   New Collegiate Dictionary 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”