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6 Logarithm tables, slide rules, and historical applications. ... As the function f(x) = b x is the inverse function of log b x, it has been called an antilogarithm. [29]
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.
This is a list of logarithm topics, ... Acoustic power; Antilogarithm; Apparent magnitude; Baker's theorem; Bel; Benford's law; Binary logarithm; ... Table of logarithms;
Mathematical table#Tables of logarithms; To a section: This is a redirect from a topic that does not have its own page to a section of a page on the subject. For ...
[6]: Sec. 59, also p. 156 [4]: 16 Logarithms of sines for angles from 30 degrees to 90 degrees are then computed by finding the closest number in the radical table and its logarithm and calculating the logarithm of the desired sine by linear interpolation. He suggests several ways for computing logarithms for sines of angles less than 30 degrees.
The logarithm function remains a staple of mathematical analysis, but printed tables of logarithms gradually diminished in importance in the twentieth century as mechanical calculators and, later, electronic pocket calculators and computers took over computations that required high accuracy. [54]
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 ...
Milton Abramowitz and Irene A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 1964. A few integrals are listed on page 69 . v