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" The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. "
National Society's Monthly Paper - Página 55
1855
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Manual of Algebra

William Guy Peck - 1875 - 331 páginas
...ax+v _ mn. whence, from the definition, .x + у = Log mn; ... (5) hence, the following principle: 1°. The logarithm of the product of two numbers is equal to the sum of the logarithms of the two numbers. If we divide (3) by (4), member by member, we have, n whence, from...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1875 - 412 páginas
...unity. For, let a' = a ; then x = log. a. But by 88, if a' = a, then x = 1, or log. a = 1. 3. TJie logarithm of the product of two numbers is equal to the sum of the logarithms of the two numbers. For, let m = a', n = a' ; then x = log. m, z = log. n. But by multiplication,...
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ELEMENTARY ARITHMETIC, WITH BRIEF NOTICES OF ITS HISTORY

ROBERT POTTS - 1876
...a l °s« u i . a l °S" u 2 — ^osa«^ logora And log^i . u. 2 ] ^log^! + Iog ß w 2 by def. Or, the logarithm of the product o f two numbers, is equal to the -sum of the logarithms of the numbers themselves. COR. In a similar way it may be shewn that the log a {w!...
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Elementary Arithmetic: With Brief Notices of Its History, Volúmenes1-12

Robert Potts - 1876
.... «l = <lloS««l . elogaK2 = alog«!ll +loSo«í And log„{M, . %} =log„«, + logA by def. Or, the logarithm of the product of two numbers, is equal to the sum of the logarithms of the numbers themselves. COR. In a similar way it may be shewn that the logj«, ....
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Harvard Examination Papers

Robert Fowler Leighton - 1877 - 343 páginas
...™i ол-i nc>2 TT (0.00130106)2; 2; ' Use (000130106) arithmetical complements in dividing. 6. Prove that the logarithm of the product of two numbers is equal to the sxim of the logarithms of the numbers. 7. Find, by logarithms, the values of the following quantities...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...base of a right-angled triangle, in which the perpendicular is 127 and the hypotenuse 325. 9. Prove that the logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers themselves. Find A, when 10 tan^ = 7 sin 15° 30'. 10. In the triangle...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1880 - 318 páginas
...lies between 10 and 100; hence its logarithm lies between 1 and 2, as docs the logarithm of 74. 5. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. The logarithm of a quotient is equal to the logarithm of the dividend...
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Popular scientific recreations, tr. and enlarged from 'Les récréations ...

Gaston Tissandier - 1882
...explanations are only wearying and unsatisfactory at best. The principle is, simply stated, the theorem that the logarithm of the product of two numbers is equal to the sum of their logs. The size of the dial will of course regulate the length of the calculation. The instrument depicted...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1882 - 325 páginas
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Popular Scientific Recreations in Natural Philosophy, Astronomy, Geology ...

Gaston Tissandier - 1883 - 781 páginas
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