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If a number, x, is expressed as a power of another number, y, that is, if x = yn, then n is said to be the logarithm of x to base y. Common logarithms are to the base 10; natural or Napierian logarithms are to the base e, a mathematical constant.
[G. logos, word, ratio, + arithmos, number]


a mathematical device.

common logarithm
the value of the power when a number is expressed as to the power of 10 (has the base 10). Thus 100 expressed as to the power of 10 is 102 and the log of 100 is 2.
Napierian logarithm
see natural logarithm (below).
natural logarithm
as for common logarithm, except that the base is e or 2.178. Called also Napierian logarithm.
References in periodicals archive ?
Logarithms are defined as the inverse of exponents.
The common features shared by all LNS inventions are single cycle operations (multiplication, division, squares, square roots), dynamic range and precision comparable to floating point, and minimal CPU silicon (if the logarithm tables needed for addition and subtraction can be stored in external memory).
At the beginning of this school year, each student was assigned a 6-inch-thick binder jammed with pages of logarithms and quantum mechanics.
For a given number, the idea is to find natural logarithms repeatedly until the result lies between 1 and 0.
Shor's paper, "Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer," takes advantage of the counterintuitive principles of quantum mechanics to analyze a huge number of possible solutions simultaneously, far more than any conceivable computer that relies on today's integrated circuit technology.
Some specific topics covered include analysis and optimization of elliptic-curve single-scalar multiplication, subsequences of Sidelnikov sequences, Dickson polynomial permutations, and discrete logarithms in curves over finite fields.
Why don't I understand Whitewater, Steve Forbes' flat-tax proposal, what our interests in Bosnia are or how logarithms work?
Someone once proposed naming the unit of natural logarithms (e = 2.
12, 1999--XLNS Research announced today that its preliminary market research indicates weak customer demand for arithmetic hardware and software based on logarithms.
The math required is at the high school level up to exponents and logarithms, for which reminders are provided.
The library also contains ultra fast multiplies, divisions, square roots, reciprocals, logarithms, exponentials, powers, trig functions, inverse trig functions and other fast scientific and graphics functions.
Readers should have a working knowledge of electrical communication, algebra, trigonometry, logarithms, and time distributions.