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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...

{\displaystyle k} . These logarithms are equally spaced along a vertical line in the complex plane. A complex-valued function log : U → C {\displaystyle...

logarithm to the base 2 and is the inverse function of the power of two function. As well as log2, an alternative notation for the binary logarithm is...

iterated logarithm of n {\displaystyle n} , written log*  n {\displaystyle n} (usually read "log star"), is the number of times the logarithm function must...

generalization of the scalar logarithm and in some sense an inverse function of the matrix exponential. Not all matrices have a logarithm and those matrices that...

natural logarithm was the result of a search for an expression of area against a rectangular hyperbola, and required the assimilation of a new function into...

can be characterized in many ways. It is the base of the natural logarithm function. It is the limit of ( 1 + 1 / n ) n {\displaystyle (1+1/n)^{n}} as...

functions include the exponential function, the logarithm, and the trigonometric functions. Formally, an analytic function f (z) of one real or complex variable...

called super-root and super-logarithm, analogous to the nth root and the logarithmic functions. None of the three functions are elementary. Tetration is...

complex case, it has an inverse function, named the p-adic logarithm. The usual exponential function on C is defined by the infinite series exp ⁡ ( z ) = ∑...

In mathematics, the Lambert W function, also called the omega function or product logarithm, is a multivalued function, namely the branches of the converse...

mathematics, the 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...

interval ( 0 , ∞ ) {\displaystyle (0,\infty )} . Its inverse function is the natural logarithm, denoted ln {\displaystyle \ln } , log {\displaystyle \log...

logarithm logb a is a number x such that bx = a. Analogously, in any group G, powers bk can be defined for all integers k, and the discrete logarithm...

equal to the logarithm of the odds p 1 − p {\displaystyle {\frac {p}{1-p}}} where p is a probability. Thus, the logit is a type of function that maps probability...

b)} (see atan2 for the definition of this function). Logarithm of z. The principal value of this logarithm is log ⁡ z = ln ⁡ ρ + i θ , {\displaystyle...

logarithmic function, although it is named after him. However, if it is taken to mean the "logarithms" as originally produced by Napier, it is a function given...

if the natural logarithm function is viewed as a function from the positive reals to the reals), then the natural logarithm is a function. Subtraction of...

summing the logarithms of the terms. The complex logarithm is the complex number analogue of the logarithm function. No single valued function on the complex...