Logarithm - Wikipedia In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the 3 rd power: 1000 = 103 = 10 × 10 × 10
Introduction to Logarithms - Math is Fun Sometimes a logarithm is written without a base, like this: log (100) This usually means that the base is really 10 It is called a "common logarithm"
Intro to Logarithms (article) - Khan Academy Logarithms are another way of thinking about exponents For example, we know that 2 raised to the 4 th power equals 16 This is expressed by the exponential equation 2 4 = 16 Now, suppose someone asked us, " 2 raised to which power equals 16 ?" The answer would be 4
Logarithm | Rules, Examples, Formulas | Britannica Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = log b n For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8 In the same fashion, since 10 2 = 100, then 2 = log 10 100
Logarithm -- from Wolfram MathWorld Logarithms are used in many areas of science and engineering in which quantities vary over a large range For example, the decibel scale for the loudness of sound, the Richter scale of earthquake magnitudes, and the astronomical scale of stellar brightnesses are all logarithmic scales The derivative and indefinite integral of are given by