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2. 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 ...

3. Logarithm - Wikipedia

   en.wikipedia.org/wiki/Logarithm

   Binary logarithms are also used in computer science, where the binary system is ubiquitous; in music theory, where a pitch ratio of two (the octave) is ubiquitous and the number of cents between any two pitches is a scaled version of the binary logarithm, or log 2 times 1200, of the pitch ratio (that is, 100 cents per semitone in conventional ...

4. 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.

5. History of logarithms - Wikipedia

   en.wikipedia.org/wiki/History_of_logarithms

   This can be envisioned as shifting the decimal separator of the given number to the left yielding a positive, and to the right yielding a negative exponent of 10. Only the logarithms of these normalized numbers (approximated by a certain number of digits), which are called mantissas, need to be tabulated in lists to a similar precision (a ...

6. Natural logarithm - Wikipedia

   en.wikipedia.org/wiki/Natural_logarithm

   For example, ln 7.5 is 2.0149..., because e 2.0149... = 7.5. The natural logarithm of e itself, ln e, is 1, because e 1 = e, while the natural logarithm of 1 is 0, since e 0 = 1. The natural logarithm can be defined for any positive real number a as the area under the curve y = 1/x from 1 to a [4] (with the area being negative when 0 < a < 1 ...

7. Why you have COVID symptoms and a negative test: You ... - AOL

   www.aol.com/finance/why-covid-symptoms-negative...

   At-home COVID tests “work as well as they always have”—even on new variants like “Pirola” BA.2.86, “Eris” EG.5.1, ... If you test negative using an at-home test, repeat the test ...