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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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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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University Algebra: Embracing a Logical Development of the Science with ...

Charles Davies - 1889 - 320 páginas
...member, we have, a*+y — mrii Whence, from the definition, x + y = Log mn . . . . ( 5.) i That is, the logarithm of the product of two numbers is equal to the sum of the logarithms of the tiw numbers. If we divide ( 3 ) by ( 4 ), member by member, wo shall have, m...
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A Treatise on Elementary Trigonometry

John Bascombe Lock - 1892 - 306 páginas
...of 2 which is equal to 32? The use of Logarithms is based upon the following propositions : — I, The logarithm of the product of two numbers is equal to the logarithm of one of the numbers + the logarithm of the other. For, let log. m=x and log,,ra=y, then,...
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Algebra for Schools and Colleges

William Freeland - 1895 - 309 páginas
...is > 1. 393. III. Again, if m" = a, and m' = b, we have m*+' = ab. I fence logab = x + y; that is, the logarithm of the product of two numbers is equal to the sum of the logarithms of its factors. 394. IV. Also if m* = a, and m? = b, m*-" = -. Hence, b log - = x —...
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Trigonometry for Beginners

John Bascombe Lock - 1896 - 147 páginas
...pro. duce8' log«, 100 = 2. 120. The use of logarithms is based upon the following propositions : I. The logarithm of the product of two numbers is equal to the logarithm of one of the numbers plus the logarithm of the other. For, let logj m = x ; then m = bx,...
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Elements of Trigonometry: Plane and Spherical

Andrew Wheeler Phillips, Wendell Melville Strong - 1898 - 138 páginas
...of the number m is the number .r which satisfies the equation, ax = 1n. This is written x = loga m. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. Thus loga;//я = logaw + logeя. The logarithm of the quotient of two...
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