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Archimedes lays foundation of logarithms using base 100,000,000.
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John Napier introduces logarithms in A Description of the Wonderful Table of Logarithms using a correspondence between geometric and arithmetic progressions.
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Henry Briggs continues the work of Napier spreading the idea of logarithms across Europe.
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Independent of Napier, Joost Burgi introduces logarithms in Arithmetic and Geometric Progression. Burgi included no terminology, just referred to black numbers and red numbers from his tables from the color of the ink.
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Edmund Gunther, a friend of Briggs, discover logarithms for sines and tangents.
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Nicholas Mercator uses logarithms to the base e which he calls natural logarithms.
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in Algebra, John Wallis further develops the theory of logarithms.
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In a letter to Gottfried Leibniz, John Bernoulli discusses logarithms.
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Gottfried Leibniz declares that -1 has no logarithm.
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William Gardiner defines logarithms in Tables of Logarithms as power of 10 but gives credit to William Jones.
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Leonhard Euler supports views of logarithms put forth by Gardiner.