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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. 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. Logarithm - Wikipedia

   en.wikipedia.org/wiki/Logarithm

   Intervals between arbitrary pitches can be measured in octaves by taking the base-2 logarithm of the frequency ratio, can be measured in equally tempered semitones by taking the base-2 1/12 logarithm (12 times the base-2 logarithm), or can be measured in cents, hundredths of a semitone, by taking the base-2 1/1200 logarithm (1200 times the base ...

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. 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 ...

7. Mortgage and refinance rates for Nov. 4, 2024: Average rates ...

   www.aol.com/finance/mortgage-and-refinance-rates...

   The fixed rate for a 15-year mortgage is 5.99%, up 28 basis points from last week's average 5.71%. These figures are lower than a year ago, when rates averaged 7.76% for a 30-year term and 7.03% ...

8. 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 ...

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