Misplaced Pages

Cologarithm: Difference between revisions

Article snapshot taken from Wikipedia with creative commons attribution-sharealike license. Give it a read and then ask your questions in the chat. We can research this topic together.
Browse history interactively← Previous editContent deleted Content addedVisualWikitext
Revision as of 13:06, 19 March 2020 editTrappist the monk (talk | contribs)Administrators479,888 editsm →References: cite repair;← Previous edit Latest revision as of 20:38, 9 February 2023 edit undo1234qwer1234qwer4 (talk | contribs)Extended confirmed users, Page movers197,955 edits Added {{R from related word}}, {{R printworthy}} and {{R with history}} tags to redirectTag: Twinkle 
(3 intermediate revisions by 3 users not shown)
Line 1: Line 1:
#REDIRECT ]
In ], the base-''b'' '''cologarithm''',<ref name="Hall_1909"/> sometimes shortened to '''colog''',<ref name="Hall_1909"/> of a number is the base-''b'' ] of the ] of the number. It is equal to the ''negative'' base-''b'' logarithm of the number:<ref name="Hall_1909"/>


⚫ ]
: <math>\operatorname{colog}_b(x) = \log_b\left(\frac{1}{x}\right) = \log_b(1) - \log_b(x) = -\log_b(x).</math>


{{Redirect category shell|
The cologarithm in base ''b'' of a number is also equal to the logarithm of the same number having the reciprocal of ''b'' as the base:
{{R from related word}}

{{R printworthy}}
: <math>\operatorname{colog}_b(x) = \log_{\frac{1}{b}}(x).</math>
{{R with history}}

{{R to anchor}}
In ], a ] 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>.

== See also ==
* ]
* ]

== References ==
{{reflist|refs=
<ref name="Hall_1909">{{cite book |title=Trigonometry |volume=Part I: Plane Trigonometry |first1=Arthur Graham |last1=Hall |first2=Fred Goodrich |last2=Frink |date=1909 |chapter=Chapter IV. Logarithms Cologarithms |publisher=] |location=New York |page=36 |url=https://archive.org/stream/planetrigonometr00hallrich#page/n51/mode/1up}}</ref>
}} }}

==Further reading==
* {{Cite Merriam-Webster|cologarithm}} {{webarchive |url=https://web.archive.org/web/20070216042649/http://www.merriamwebster.com/dictionary/cologarithm |date=16 February 2007}}.
* . Wolfram MathWorld.

{{algebra-stub}}

⚫ ]

Latest revision as of 20:38, 9 February 2023

Redirect to:


This page is a redirect. The following categories are used to track and monitor this redirect:
  • From a related word or phrase: This is a redirect from a word or phrase (term) to a page title that is related in some way. This redirect might be a good search term, or it could be a candidate for a Wiktionary link.
    • Redirects from related words are not properly redirects from alternative spellings of the same word. They are also different from redirects that are subtopics or related topics, because unlike those, a related word or phrase probably does not warrant its own subtopic section in the target page or possess the possibility of ever becoming an article, template, project page, and so forth.
  • With history: This is a redirect from a page containing substantive page history. This page is kept as a redirect to preserve its former content and attributions. Please do not remove the tag that generates this text (unless the need to recreate content on this page has been demonstrated), nor delete this page.
    • This template should not be used for redirects having some edit history but no meaningful content in their previous versions, nor for redirects created as a result of a page merge (use {{R from merge}} instead), nor for redirects from a title that forms a historic part of Misplaced Pages (use {{R with old history}} instead).
  • To an embedded anchor: This is a redirect from a topic that does not have its own page to an embedded anchor on the redirect's target page.
    • An {{anchor|(anchor name)}} or {{visible anchor}} template, a HTML element with id="(anchor name)", or an |id=(anchor name) parameter might be installed at the beginning of a paragraph, in or near a section header or within a table. The anchor might also be an old section header that has been edited and is anchored within or near the new header to prevent broken internal and external links.
    • Even though section headers of the general form ==(Header name)== are themselves a type of anchor, use {{R to section}} instead.
When appropriate, protection levels are automatically sensed, described and categorized.
Category: