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As the common log of ten is one, of a hundred is two, and a thousand is three, the concept of common logarithms is very close to the decimal-positional number system. The common log is said to have base 10, but base 10,000 is ancient and still common in East Asia.
As a consequence, log b (x) diverges to infinity (gets bigger than any given number) if x grows to infinity, provided that b is greater than one. In that case, log b (x) is an increasing function. For b < 1, log b (x) tends to minus infinity instead. When x approaches zero, log b x goes to minus infinity for b > 1 (plus infinity for b < 1 ...
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".
Greek spelling of logos. Logos (UK: / ˈ l oʊ ɡ ɒ s, ˈ l ɒ ɡ ɒ s /, US: / ˈ l oʊ ɡ oʊ s /; Ancient Greek: λόγος, romanized: lógos, lit. 'word, discourse, or reason') is a term used in Western philosophy, psychology and rhetoric, as well as religion (notably Christianity); among its connotations is that of a rational form of discourse that relies on inductive and deductive ...
In words of this type, the "-logy" element is derived from the Greek noun λόγος (logos, 'speech', 'account', 'story'). [4] The suffix has the sense of "[a certain kind of] speaking or writing". [7] Philology is an exception: while its meaning is closer to the first sense, the etymology of the word is similar to the second sense. [8]
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Jars from the Second Temple period (Israel Museum). A log (Hebrew לוג or וג, Romanized lōḡ) is a biblical and halakhic unit of liquid volume. [1] The word log occurs in the Bible, in Lev. 14:10, 15, 21 which prescribes the korban (asham, "guilt-offering") of a poor metzorah:
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