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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. Derivations also use the log definitions x = b log b (x ...
When the prefix "re-" is added to a monosyllabic word, the word gains currency both as a noun and as a verb. Most of the pairs listed below are closely related: for example, "absent" as a noun meaning "missing", and as a verb meaning "to make oneself missing". There are also many cases in which homographs are of an entirely separate origin, or ...
listicle, from list and article [5] machinima, from machine and cinema [47] Pokémon, from pocket and monster [5] textonym, from text and synonym [2] vortal, from vertical and portal [2] Microsoft, from microcomputer and software [48]
For example, to find a number in a sorted list, the binary search algorithm checks the middle entry and proceeds with the half before or after the middle entry if the number is still not found. This algorithm requires, on average, log 2 ( N ) comparisons, where N is the list's length. [ 82 ]
a; a few; a little; all; an; another; any; anybody; anyone; anything; anywhere; both; certain (also adjective) each; either; enough; every; everybody; everyone ...
The mathematical notation for using the common logarithm is log(x), [4] log 10 (x), [5] or sometimes Log(x) with a capital L; [a] on calculators, it is printed as "log", but mathematicians usually mean natural logarithm (logarithm with base e ≈ 2.71828) rather than common logarithm when writing "log".
The natural logarithm of x is generally written as ln x, log e x, or sometimes, if the base e is implicit, simply log x. [2] [3] Parentheses are sometimes added for clarity, giving ln(x), log e (x), or log(x). This is done particularly when the argument to the logarithm is not a single symbol, so as to prevent ambiguity.
Examples are the simple gravitation law connecting masses and distance with the resulting force, or the formula for equilibrium concentrations of chemicals in a solution that connects concentrations of educts and products. Assuming log-normal distributions of the variables involved leads to consistent models in these cases.