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  2. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    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. Derivations also use the log definitions x = b log b (x ...

  3. List of integrals of logarithmic functions - Wikipedia

    en.wikipedia.org/wiki/List_of_integrals_of...

    The following is a list of integrals (antiderivative functions) of logarithmic functions. For a complete list of integral functions, see list of integrals. Note: x > 0 is assumed throughout this article, and the constant of integration is omitted for simplicity.

  4. Napierian logarithm - Wikipedia

    en.wikipedia.org/wiki/Napierian_logarithm

    Napier's "logarithm" is related to the natural logarithm by the relation (⁡)and to the common logarithm by (⁡).Note that ⁡ and ⁡ (). Napierian logarithms are essentially natural logarithms with decimal points shifted 7 places rightward and with sign reversed.

  5. Discrete logarithm - Wikipedia

    en.wikipedia.org/wiki/Discrete_logarithm

    Analogously, in any group G, powers b k can be defined for all integers k, and the discrete logarithm log b a is an integer k such that b k = a. In arithmetic modulo an integer m , the more commonly used term is index : One can write k = ind b a (mod m ) (read "the index of a to the base b modulo m ") for b k ≡ a (mod m ) if b is a primitive ...

  6. Mirifici Logarithmorum Canonis Descriptio - Wikipedia

    en.wikipedia.org/wiki/Mirifici_Logarithmorum...

    The logarithm in the table, however, is of that sine value divided by 10,000,000. [1]: p. 19 The logarithm is again presented as an integer with an implied denominator of 10,000,000. The table consists of 45 pairs of facing pages. Each pair is labeled at the top with an angle, from 0 to 44 degrees, and at the bottom from 90 to 45 degrees.

  7. Common logarithm - Wikipedia

    en.wikipedia.org/wiki/Common_logarithm

    In mathematics, the common logarithm (aka "standard logarithm") is the logarithm with base 10. [1] It is also known as the decadic logarithm , the decimal logarithm and the Briggsian logarithm . The name "Briggsian logarithm" is in honor of the British mathematician Henry Briggs who conceived of and developed the values for the "common logarithm".

  8. Logarithmic derivative - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_derivative

    Many properties of the real logarithm also apply to the logarithmic derivative, even when the function does not take values in the positive reals. For example, since the logarithm of a product is the sum of the logarithms of the factors, we have ( log ⁡ u v ) ′ = ( log ⁡ u + log ⁡ v ) ′ = ( log ⁡ u ) ′ + ( log ⁡ v ...

  9. Iterated logarithm - Wikipedia

    en.wikipedia.org/wiki/Iterated_logarithm

    The zig-zagging entails starting from the point (n, 0) and iteratively moving to (n, log b (n) ), to (0, log b (n) ), to (log b (n), 0 ). In computer science , the iterated logarithm of n {\displaystyle n} , written log * n {\displaystyle n} (usually read " log star "), is the number of times the logarithm function must be iteratively applied ...

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