noun \ˈl-gə-ˌri-thəm, ˈlä-\

mathematics : a number that shows how many times a base number (such as ten) is multiplied by itself to produce a third number (such as 100)

Full Definition of LOGARITHM

:  the exponent that indicates the power to which a base number is raised to produce a given number <the logarithm of 100 to the base 10 is 2>
log·a·rith·mic \ˌl-gə-ˈrith-mik, ˌlä-\ adjective
log·a·rith·mi·cal·ly \-mi-k(ə-)lē\ adverb


New Latin logarithmus, from log- + Greek arithmos number — more at arithmetic
First Known Use: circa 1616

Other Mathematics and Statistics Terms

abscissa, denominator, divisor, equilateral, exponent, hypotenuse, oblique, radii, rhomb


noun    (Concise Encyclopedia)

In mathematics, the power to which a base must be raised to yield a given number (e.g., the logarithm to the base 3 of 9, or log 9, is 2, because 32 = 9). A common logarithm is a logarithm to the base 10. Thus, the common logarithm of 100 (log 100) is 2, because 102 = 100. Logarithms to the base e, in which e = 2.71828…, called natural logarithms (ln), are especially useful in calculus. Logarithms were invented to simplify cumbersome calculations, since exponents can be added or subtracted to multiply or divide their bases. These processes have been further simplified by the incorporation of logarithmic functions into digital calculators and computers. See also John Napier.


Next Word in the Dictionary: logarithmic curve
Previous Word in the Dictionary: logaoedic
All Words Near: logarithm

Seen & Heard

What made you want to look up logarithm? Please tell us where you read or heard it (including the quote, if possible).