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  2. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    These are the three main logarithm laws/rules/principles, [3] from which the other properties listed above can be proven. Each of these logarithm properties correspond to their respective exponent law, and their derivations/proofs will hinge on those facts. There are multiple ways to derive/prove each logarithm law – this is just one possible ...

  3. Common logarithm - Wikipedia

    en.wikipedia.org/wiki/Common_logarithm

    An important property of base-10 logarithms, which makes them so useful in calculations, is that the logarithm of numbers greater than 1 that differ by a factor of a power of 10 all have the same fractional part. The fractional part is known as the mantissa. [b] Thus, log tables need only show the fractional part. Tables of common logarithms ...

  4. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    For example, since 1000 = 10 3, the logarithm base of 1000 is 3, or log 10 (1000) = 3. The logarithm of x to base b is denoted as log b (x), or without parentheses, log b x. When the base is clear from the context or is irrelevant it is sometimes written log x. The logarithm base 10 is called the decimal or common logarithm and is commonly used ...

  5. Logarithmic scale - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_scale

    A logarithmic unit is a unit that can be used to express a quantity (physical or mathematical) on a logarithmic scale, that is, as being proportional to the value of a logarithm function applied to the ratio of the quantity and a reference quantity of the same type. The choice of unit generally indicates the type of quantity and the base of the ...

  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. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    [132] [f] Sectors and slide rules are more refined calculating instruments that rely on geometric relationships between different scales to perform both basic and advanced arithmetic operations. [134] [g] Printed tables were particularly relevant as an aid to look up the results of operations like logarithm and trigonometric functions. [136]

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  9. Base 10 logarithm - Wikipedia

    en.wikipedia.org/?title=Base_10_logarithm&...

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