Logarithm - Revision history

Amorrow: Note error in image

2017-01-27T23:22:13Z

Note error in image

DavidB4-bot: /* History */clean up & uniformity

2016-07-13T15:28:45Z

History: clean up & uniformity

DevonJ: Undo revision 850784 by JeffL1 (talk)

2011-02-20T23:36:05Z

Undo revision 850784 by JeffL1 (talk)

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2011-02-20T23:35:10Z

GOD IS ATHEIST AND SOCIALIST! FCCK CONSERVAPEDIA! GOD IS ATHEIST AND SOCIALIST! FCCK CONSERVAPEDIA! GOD IS ATHEIST AND SOCIALIST! FCCK CONSERVAPEDIA! GOD IS ATHEIST AND SOCIALIST! FCCK CONSERVAPEDIA!O

BRichtigen: Adding pic

2008-12-10T19:38:33Z

Adding pic

Ferret: /* History */

2008-08-31T11:57:49Z

History

CSGuy at 00:03, July 3, 2008

2008-07-03T00:03:16Z

Jazzman831: bold, wikify, remove redundancy and familiar language

2007-08-25T21:09:45Z

bold, wikify, remove redundancy and familiar language

Aschlafly: Reverted edits by Rinse repeat (Talk); changed back to last version by Jaques

2007-05-06T16:37:04Z

Reverted edits by Rinse repeat (Talk); changed back to last version by Jaques

Rinse repeat: Replacing page with 'This article was blanked by icewedge for no reason.'

2007-05-06T16:30:23Z

Replacing page with 'This article was blanked by icewedge for no reason.'

← Older revision		Revision as of 23:22, January 27, 2017
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−	[[Image:log.png\|thumb\|right\|px=200\|Logarithm with various bases]]	+	[[Image:log.png\|thumb\|right\|px=200\|Logarithm with various bases. Note that the legend has an error: it confuses the base 2 and base e lines.]]
	'''Logarithm''' of a [[number]] is the [[exponential]] power to which you raise the base to obtain the number.		'''Logarithm''' of a [[number]] is the [[exponential]] power to which you raise the base to obtain the number.

← Older revision		Revision as of 15:28, July 13, 2016
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	The arrival of pocket-sized electronic [[calculator]]s brought an end to the practical use of the slide rule or the table of logarithms. A calculator can compute a logarithm to ten places in less time than it takes to turn to the right page in a book-sized table of logarithms.		The arrival of pocket-sized electronic [[calculator]]s brought an end to the practical use of the slide rule or the table of logarithms. A calculator can compute a logarithm to ten places in less time than it takes to turn to the right page in a book-sized table of logarithms.
−	[[~~category~~:~~mathematics~~]]	+	[[Category:Mathematics]]

@@ Line 5: / Line 5: @@
 For example, the logarithm base 10 of 100 is the power to which you raise 10 to obtain 100.  Because 10 to the power of 2 equals 100, the logarithm of 100 is 2:
-GOD IS ATHEIST AND SOCIALIST! FCCK CONSERVAPEDIA! GOD IS ATHEIST AND SOCIALIST! FCCK CONSERVAPEDIA! GOD IS ATHEIST AND SOCIALIST! FCCK CONSERVAPEDIA! GOD IS ATHEIST AND SOCIALIST! FCCK CONSERVAPEDIA!O
 : <math> \log_b(x) = \frac{\log_c(x)}{\log_c(b)} </math>

@@ Line 5: / Line 5: @@
 For example, the logarithm base 10 of 100 is the power to which you raise 10 to obtain 100.  Because 10 to the power of 2 equals 100, the logarithm of 100 is 2:
+GOD IS ATHEIST AND SOCIALIST! FCCK CONSERVAPEDIA! GOD IS ATHEIST AND SOCIALIST! FCCK CONSERVAPEDIA! GOD IS ATHEIST AND SOCIALIST! FCCK CONSERVAPEDIA! GOD IS ATHEIST AND SOCIALIST! FCCK CONSERVAPEDIA!O
 : <math> \log_b(x) = \frac{\log_c(x)}{\log_c(b)} </math>

← Older revision		Revision as of 19:38, December 10, 2008
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−	A '''~~logarithm~~''' of a [[number]] is the [[exponential]] power to which you raise the base to obtain the number.	+	[[Image:log.png\|thumb\|right\|px=200\|Logarithm with various bases]]
		+	'''Logarithm''' of a [[number]] is the [[exponential]] power to which you raise the base to obtain the number.

	For high school [[algebra]], the most common logarithms are base-10 (the common log) and base ''[[e]]'' (the [[natural logarithm\|natural log]]).		For high school [[algebra]], the most common logarithms are base-10 (the common log) and base ''[[e]]'' (the [[natural logarithm\|natural log]]).

@@ Line 13: / Line 13: @@
 ==History==
-Logarithms were used for centuries as a computing tool by [[scientist]]s making pencil-and-paper [[computation]]s.
+Logarithms were used for centuries as a computing tool by [[scientist]]s making pencil-and-paper [[computation]]s, because the use of logarithms can greatly simplify arithmetical calculations.  For example, raising a number x to any power y (where x and y might be large or fractional) can be achieved by first looking up the logarithm of x, then multiplying by y, and then finding the inverse logarithm of the result.
 Logarithms were invented or discovered by [[John Napier]] in 1614 AD, and quickly revolutionized astronomy. Johannes Kepler said that Napier "tripled the life of an astronomer."

@@ Line 1: / Line 1: @@
 A '''logarithm''' of a [[number]] is the [[exponential]] power to which you raise the base to obtain the number.
-For high school [[algebra]], the most common base is "10".
+For high school [[algebra]], the most common logarithms are base-10 (the common log) and base ''[[e]]'' (the [[natural logarithm|natural log]]).
 For example, the logarithm base 10 of 100 is the power to which you raise 10 to obtain 100.  Because 10 to the power of 2 equals 100, the logarithm of 100 is 2:

← Older revision		Revision as of 16:37, May 6, 2007
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−	~~This article~~ was ~~blanked~~ by ~~icewedge for no reason~~.	+	A logarithm of a number is the exponential power to which you raise the base to obtain the number.
		+
		+	For high school algebra, the most common base is "10". For base 10, the definition becomes as follows: A logarithm of a number is the power to which you raise 10 to obtain the number.
		+
		+	For example, the logarithm of 100 is the power to which you raise 10 to obtain 100. Because 10 to the power of 2 equals 100, the logarithm of 100 is 2:
		+
		+	log 100 = 2 because 10<sup>2</sup> = 100
		+
		+	There are formulas for converting logarithms having different bases. To find a logarithm with base ''b'' using another base ''c'', use the following identity:
		+
		+	: <math> \log_b(x) = \frac{\log_c(x)}{\log_c(b)} </math>
		+
		+	==History==
		+
		+	It may be difficult for people growing up in the age of computers and pocket calculators to appreciate the practical importance of logarithms. They were used for centuries as a computing tool by scientists making pencil-and-paper computations.
		+
		+	Logarithms were invented or discovered by [[John Napier]] in 1614 AD, and quickly revolutionized astronomy. Johannes Kepler said that Napier "tripled the life of an astronomer."
		+
		+	For centuries, tables of logarithms were working tools of the scientist and engineer. Students and people doing rough calculations typically used a "table of four-place logarithms," which would fit on one or two pages. Such tables were printed in the back of virtually every physics book. For more precise work, longer tables with more places of precision were used, or entire volumes.
		+
		+	Closely associated with logarithms was a tool called the ''slide rule.'' A slide rule consists of ruled logarithmic scales. By manipulating the slide rule, one can graphically add together the logarithm of two numbers, which is equivalent to multiplying them. From about 1870 AD to 1970 AD, slide rules were used by virtually every scientist and engineer. They were regarded as a symbol of engineering. Engineering students were identifiable by the ten-inch slide rules attached to their belts. Learning to use a slide rule was a fundamental skill taught in high-school mathematics classes.
		+
		+	The arrival of pocket-sized electronic [[calculator]]s brought an end to the practical use of the slide rule or the table of logarithms. A calculator can compute a logarithm to ten places in less time than it takes to turn to the right page in a book-sized table of logarithms.
		+	[[category:mathematics]]

← Older revision		Revision as of 16:30, May 6, 2007
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−	~~A logarithm of a number is the exponential power to which you raise the base to obtain the number.~~	+	This article was blanked by icewedge for no reason.
−
−	~~For high school algebra, the most common base is "10". For base 10, the definition becomes as follows: A logarithm of a number is the power to which you raise 10 to obtain the number.~~
−
−	~~For example, the logarithm of 100 is the power to which you raise 10 to obtain 100. Because 10 to the power of 2 equals 100, the logarithm of 100 is 2:~~
−
−	~~log 100 = 2 because 10<sup>2</sup> = 100~~
−
−	~~There are formulas for converting logarithms having different bases. To find a logarithm with base ''b'' using another base ''c'', use the following identity:~~
−
−	~~: <math> \log_b(x) = \frac{\log_c(x)}{\log_c(b)} </math>~~
−
−	~~==History==~~
−
−	It may be difficult for people growing up in the age of computers and pocket calculators to appreciate the practical importance of logarithms. They were used for centuries as a computing tool by scientists making pencil-and-paper computations.
−
−	~~Logarithms were invented or discovered by [[John Napier]] in 1614 AD, and quickly revolutionized astronomy. Johannes Kepler said that Napier "tripled the life of an astronomer."~~
−
−	For centuries, tables of logarithms were working tools of the scientist and engineer. Students and people doing rough calculations typically used a "table of four-place logarithms," which would fit on one or two pages. Such tables were printed in the back of virtually every physics book. For more precise work, longer tables with more places of precision were used, or entire volumes.
−
−	~~Closely associated with logarithms~~ was a tool called the ''slide rule.'' A slide rule consists of ruled logarithmic scales. By manipulating the slide rule, one can graphically add together the logarithm of two numbers, which is equivalent to multiplying them. From about 1870 AD to 1970 AD, slide rules were used by virtually every scientist and engineer. They were regarded as a symbol of engineering. Engineering students were identifiable by the ten-inch slide rules attached to their belts. Learning to use a slide rule was a fundamental skill taught in high-school mathematics classes.
−
−	The arrival of pocket-sized electronic [[calculator]]s brought an end to the practical use of the slide rule or the table of logarithms. A calculator can compute a logarithm to ten places in less time than it takes to turn to the right page in a book-sized table of logarithms.
−	~~[[category:mathematics]]~~