logarithm
log·a·rithmMath. the exponent expressing the power to which a fixed number (the base) must be raised in order to produce a given number (the antilogarithm): logarithms computed to the base 10 are often used for shortening mathematical calculations
Origin of logarithm
Modern Latin logarithmus from Classical Greek logos, a word, proportion, ratio (see logic) + arithmos, number (see arithmetic)logarithm
noun
MathematicsThe power to which a base, such as 10, must be raised to produce a given number. If n^{x} = a, the logarithm of a, with n as the base, is x; symbolically, log _{n} a = x. For example, 10^{3} = 1,000; therefore, log_{10} 1,000 = 3. The kinds most often used are the common logarithm (base 10), the natural logarithm (base e ), and the binary logarithm (base 2).
Origin of logarithm
New Latin logarithmus Greek logos reason, proportion ; see leg- in Indo-European roots.Greek arithmos number ; see ar- in Indo-European roots.Related Forms:
- log′a·rith′mic log′a·rith′mi·cal
adjective
- log′a·rith′mi·cal·ly
adverb
logarithm
Noun
(plural logarithms)
- (mathematics) For a number , the power to which a given base number must be raised in order to obtain . Written . For example, because and because .
- For a currency which uses denominations of 1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, etc., each jump in the base-10 logarithm from one denomination to the next higher is either 0.3010 or 0.3979.
Origin
From New Latin logarithmus, term coined by Scot mathematician John Napier from Ancient Greek Î»ÏŒÎ³Î¿Ï‚ (logos, “word, reason") and á¼€ÏÎ¹Î¸Î¼ÏŒÏ‚ (arithmos, “number").
logarithm - Computer Definition
See log.