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  2. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    The graph of the logarithm base 2 crosses the x-axis at x = 1 and passes through the points (2, 1), (4, 2), and (8, 3), depicting, e.g., log 2 (8) = 3 and 2 3 = 8. The graph gets arbitrarily close to the y-axis, but does not meet it. Addition, multiplication, and exponentiation are three of the most fundamental arithmetic operations.

  3. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    Logarithms can be used to make calculations easier. For example, two numbers can be multiplied just by using a logarithm table and adding. These are often known as logarithmic properties, which are documented in the table below. [2] The first three operations below assume that x = b c and/or y = b d, so that log b (x) = c and log b (y) = d.

  4. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    A quadratic equation is one which includes a term with an exponent of 2, for example, , [40] and no term with higher exponent. The name derives from the Latin quadrus , meaning square. [ 41 ] In general, a quadratic equation can be expressed in the form a x 2 + b x + c = 0 {\displaystyle ax^{2}+bx+c=0} , [ 42 ] where a is not zero (if it were ...

  5. List of mathematical functions - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_functions

    Logarithms: the inverses of exponential functions; useful to solve equations involving exponentials. Natural logarithm; Common logarithm; Binary logarithm; Power functions: raise a variable number to a fixed power; also known as Allometric functions; note: if the power is a rational number it is not strictly a transcendental function. Periodic ...

  6. Logarithmic number system - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_number_system

    One part of this machine called an "endless spindle" allowed the mechanical expression of the relation = ⁡ (+), [14] with the aim of extracting the logarithm of a sum as a sum of logarithms. A LNS has been used in the Gravity Pipe ( GRAPE-5 ) special-purpose supercomputer [ 15 ] that won the Gordon Bell Prize in 1999.

  7. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    Similarly, the expression b 3 = b · b · b is called "the cube of b" or "b cubed", because the volume of a cube with side-length b is b 3. When an exponent is a positive integer, that exponent indicates how many copies of the base are multiplied together. For example, 3 5 = 3 · 3 · 3 · 3 · 3 = 243.

  8. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication .

  9. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    7.5 Exponential and logarithms. 8 See also. 9 Notes. ... Download as PDF; Printable version; ... denotes the fractional part of is a Bernoulli ...

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