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2. Euler's formula - Wikipedia

   en.wikipedia.org/wiki/Euler's_formula

   Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function.

3. Natural logarithm - Wikipedia

   en.wikipedia.org/wiki/Natural_logarithm

   The exponential function can be extended to a function which gives a complex number as e z for any arbitrary complex number z; simply use the infinite series with x =z complex. This exponential function can be inverted to form a complex logarithm that exhibits most of the properties of the ordinary logarithm.

4. List of logarithmic identities - Wikipedia

   en.wikipedia.org/wiki/List_of_logarithmic_identities

   The multiple valued version of log(z) is a set, but it is easier to write it without braces and using it in formulas follows obvious rules. log(z) is the set of complex numbers v which satisfy e v = z; arg(z) is the set of possible values of the arg function applied to z. When k is any integer:

5. Exponential function - Wikipedia

   en.wikipedia.org/wiki/Exponential_function

   Exponential functions with bases 2 and 1/2. In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative equal to its value. . The exponential of a variable ⁠ ⁠ is denoted ⁠ ⁡ ⁠ or ⁠ ⁠, with the two notations used interchangeab

6. Logarithm - Wikipedia

   en.wikipedia.org/wiki/Logarithm

   Because log(x) is the sum of the terms of the form log(1 + 2 −k) corresponding to those k for which the factor 1 + 2 −k was included in the product P, log(x) may be computed by simple addition, using a table of log(1 + 2 −k) for all k. Any base may be used for the logarithm table. [53]

7. Log–log plot - Wikipedia

   en.wikipedia.org/wiki/Log–log_plot

   In science and engineering, a log–log graph or log–log plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes. Power functions – relationships of the form y = a x k {\displaystyle y=ax^{k}} – appear as straight lines in a log–log graph, with the exponent corresponding to ...