Logarithm vs. Antilogarithm — What's the Difference?

The power to which a base, such as 10, must be raised to produce a given number. If nx = a, the logarithm of a, with n as the base, is x; symbolically, logn a = x. For example, 103 = 1,000; therefore, log10 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).

The number for which a given logarithm stands; for example, if log x equals y, then x is the antilogarithm of y.

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

(mathematics) The number of which a given number is the logarithm (to a given base). Category:en:Functions

(mathematics) For a number $x$, the power to which a given base number must be raised in order to obtain $x$. Written $\backslash log\_b\; x$. For example, $\backslash log\_\{10\}\; 1000\; =\; 3$ because $10^3\; =\; 1000$ and $\backslash log\_2\; 16\; =\; 4$ because $2^4\; =\; 16$. Category:en:Functions

The number corresponding to a logarithm. The word has been sometimes, though rarely, used to denote the complement of a given logarithm; also the logarithmic cosine corresponding to a given logarithmic sine.

One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550-1617), to abridge arithmetical calculations, by the use of addition and subtraction in place of multiplication and division.

The number of which a given number is the logarithm

The exponent required to produce a given number