A logarithm of a given number is the value of the exponent indicating the power required to raise a specified constant, known as the base, to produce that given number. That is, if B is the base, N is the given  number and L is the logarithm, then BL = N. Since 103 = 1000, the logarithm to the base 10 of 1000 is 3.

the exponent required to produce a given number

a function that turns a power into an exponent

a magic number related to another number

a mathematical function that transforms either very large or very small numbers into a more meaningful number for us to visualise

a mathematical way of representing large changes with small values

a math term strongly tied to the concept of exponents

a method of representing large numbers originally developed for use with mechanical calculators

an exponent of some number "B" called the base

an exponent used in mathematical calculations to depict the perceived levels of variable quantities such as visible light energy, electromagnetic field strength, and sound intensity

a number, without physical units

a way of restating an exponent

the power to which a base (usually 10) must be raised to produce a given number. If the base is 10, the logarithm of 1000 is 3; the logarithm of 10,000 is 4; the logarithm of 100,000 is 5.

In common logarithms, representing a number by the power to which 10 must be raised to equal it. For example, 10 to the exponent (or power) 2 = 10 squared = 100. The log of 100 is therefore 2.

An alternate way to express an exponent. If loga(x) = y, then ay = x. In this representation, a is the base of the logarithm. For example, log10(100) = 2 (read “log base 10 of 100 equals 2”), or 102 = 100.

Alternate way to express an exponent. For example, log2 8=3 is equivalent to 23=8.

The exponent of the power to which a base number must be raised to equal a given number. An example: 2 is the logarithm of 100 to the base 10. One can look at this way: 10 * 10 = 100, which is the same as 102, and 2 is the exponent referred to above

Mathematical concept which forms the basis for the pH scale.

We call the positive number's based ( ; cannot equal with ) logarithm that exponent, which we get, if we raise to the th power. Symbol: a^logab = b; The natural logarithm: 10^lg b = b (The ^ sign means raising to a higher power)

The exponent indicating the power to which a fixed number, the base, must be raised to produce a given number. For example, if nx = a, the logarithm of a, with n as the base, is x; symbolically, logna = x. If the base is 10, the log of 100 is 2 or 102.

The exponent that indicates the power to which a number must be raised to produce a given number.

A number expressed as the exponent a certain base must be raised to so as to equal the original value. Usually logs are base 10, or calibrated to a special number "e" (approximately 2.7: logarithms based on e are called natural logarithms.). For logs of base 10, 1 log is ten times, 2 logs is a hundred times, etc.

From the Latin logarithmus, literally mathematical proportion or ratio. First devised in 1614 by the Scottish mathematician John Napier who reduced complicated multiplication and division of numbers to the simpler operations of adding or subtracting their exponents (logarithms, abbreviated logs). Diurnal proportional logs, used in astrological calculations, are based upon the ration between hours or degrees and minutes (1/60) and can be adapted to problems involving minutes and seconds of time or arc because the same ratio exists between the two smaller units as between the larger units (hours to minutes of time or degrees to minutes of arc display the same ratio as minutes to seconds or arc or minutes to seconds of time).

A mathematical operation related to the base of a numbering system.

In mathematics, a logarithm of a number x in base b is a number n such that x = bn, where the value b must be neither 0 nor a root of 1.