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the binary logarithm of 4 is 2, and the binary logarithm of 32 is 5. The binary logarithm is the logarithm to the base 2 and is the inverse function of...

In mathematics, the logarithm is the inverse function to exponentiation. That means that the logarithm of a number x to the base b is the exponent to which...

The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately...

common logarithm is the logarithm with base 10. It is also known as the decadic logarithm and as the decimal logarithm, named after its base, or Briggsian...

binary iterated logarithm, which iterates the binary logarithm (with base 2 {\displaystyle 2} ) instead of the natural logarithm (with base e). Mathematically...

constant approximately equal to 2.71828 that can be characterized in many ways. It is the base of the natural logarithm function. It is the limit of (...

public-key cryptography, such as ElGamal, base their security on the hardness assumption that the discrete logarithm problem (DLP) over carefully chosen groups...

natural logarithm of 2 (sequence A002162 in the OEIS) is approximately ln ⁡ 2 ≈ 0.693 147 180 559 945 309 417 232 121 458. {\displaystyle \ln 2\approx...

In mathematics, a complex logarithm is a generalization of the natural logarithm to nonzero complex numbers. The term refers to one of the following, which...

exponents, below), or in terms of the logarithm of the base and the exponential function (§ Powers via logarithms, below). The result is always a positive...

common (base 10) logarithms, which were easier to use. Tables of logarithms were published in many forms over four centuries. The idea of logarithms was also...

)-Q(\omega )|} . With base-e logarithm, which is commonly used in statistical thermodynamics, the upper bound is ln ⁡ ( 2 ) {\displaystyle \ln(2)} . In general...

gets us the second property. Logarithms and exponentials with the same base cancel each other. This is true because logarithms and exponentials are inverse...

\over N}.} By taking information per pulse N in bit/pulse to be the base-2-logarithm of the number of distinct messages M that could be sent, Hartley constructed...

of base for log {\displaystyle \log } , the logarithm, varies for different applications. Base 2 gives the unit of bits (or "shannons"), while base e gives...

approximation of the logarithm of a value relative to some contextually understood reference value, usually 10, interpreted as the base of the logarithm and the representative...

the base-2 logarithm (binary logarithm) of the ratio: number of octaves = log 2 ⁡ ( f 2 f 1 ) {\displaystyle {\text{number of octaves}}=\log _{2}\left({\frac...

allows various optimisations, resulting from the easy generation of a base-2 logarithm approximation from an integer view of the raw bit pattern. Integer...

element α {\displaystyle \alpha } of a finite field, the Zech logarithm relative to the base α {\displaystyle \alpha } is defined by the equation α Z α (...

the base-2-logarithm of the number of distinct messages M that could be sent, Hartley constructed a measure of the line rate R as: R = f p log 2 ⁡ ( M...