Q: The base of common logarithms

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In math, that may either refer to changing the base of the number system (for example, change from decimal (base 10) to binary (base 2)); or it may refer to changing logarithms, from one base to another - for example, common (base-10) logarithms to natural (base-e) logarithms.

log 2 = 0.30102999566398119521373889472449 for base 10 logarithms

Because when the system of logarithms with the base 'e' was defined and tabulated, it was entitled with the identifying label of "Natural Logarithms". ---------------------------------- My improvement: The natural log base is e (a numerical constant of about 2.718). It is chosen as a log base since there is a mathematical series (a "string" of mathematical numerical terms to be summed) for calculating a logarithm (ie. exponent of the base) of a number, which has a base of e. Series for calculating logarithms with bases other than e have basically not been developed.

You can convert to the same base, by the identity: logab = log b / log a (where the latter two logs are in any base, but both in the same base).

ln stands for the function that associates a value with it natural logarithm or, in other words, its logarithm to the base e. You are probably familiar with common or base 10 logarithms and know that, for instance, log10100 = 2 because 100 = 102. ln works in the same way. loge e2 = 2. The value of e is about 2.71828. Therefore, loge 2.71828 ~=1. This function has characteristics that parallel those of base 10 logarithms. You might wish to see the wikipedia page about the natural logarith.

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Logarithms can be taken to any base. Common logarithms are logarithms taken to base 10; it is sometimes abbreviated to lg. Natural logarithms are logarithms taken to base e (= 2.71828....); it is usually abbreviated to ln.

Natural logarithms use base e (approximately 2.71828), common logarithms use base 10.

Yes. Logarithms to the base 10 are called common logarithms, and 2 is the correct common logarithm for 100.

To which base? To base e (natural logarithms) loge 589 ~= 6.378 To base 10 (common logarithms) log10 589 ~= 2.77 To base 2 (a base I quite like) log2 589 ~= 9.202

In math, that may either refer to changing the base of the number system (for example, change from decimal (base 10) to binary (base 2)); or it may refer to changing logarithms, from one base to another - for example, common (base-10) logarithms to natural (base-e) logarithms.

The logarithms of numbers from 1 to 10 in small steps, including rules for interpolation. There may also be logarithms of common trigonometric functions such as sine and cosine.The logarithms will often be to base 10 and natural logs (base e). The tables will also contain antilogarithms.

The base 10 logarithm is called the "common logarithm". * * * * * It is also called the 'Briggsian logarithm', named after Henry Briggs, who introduced his table of logarithms on base 10 at Oxford in 1624, much to the joy of navigators, astronomers, and others having tedious calculations to perform.

No. The so-called "natural" logarithms have a base of ' e ', and you can find the log of any positive number to any base you like.

common logarithms, natural logarithms, monatary calculations, etc.

log 2 = 0.30102999566398119521373889472449 for base 10 logarithms

Natural logarithms are logarithms to base e, where e is the transcendental number which is roughly equal to 2.71828. One of its properties is that the slope (derivative) of the graph of ex at any point is also ex.