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" The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. "
Manual of mathematical tables, by J.A. Galbraith and S. Haughton - Página viii
por Joseph Allen Galbraith - 1860
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...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 ABC, if B = 57° 45', C = 105°...
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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 diminished by that of the divisor....
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Elements of Algebra

George Albert Wentworth - 1881 - 380 páginas
...following general proofs to the base a should be noticed. I. The logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. For, let m and n be two numbers, and x and y their logarithms. Then, by the definition of a logarithm,...
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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, 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...
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Logarithms

Henry Nathan Wheeler - 1882 - 43 páginas
...3 when the base is 10? Ans. 0.001. § 6. In any system the logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. Proof: If l = b", m = by, n = b', then is log6Z = x, Iog6m = 2/, logbn = z; now IX mxn = b* x Ъ»...
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Popular Scientific Recreations in Natural Philosophy, Astronomy, Geology ...

Gaston Tissandier - 1883 - 781 páginas
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Elementary text-book of trigonometry

Robert Hamilton Pinkerton - 1884 - 176 páginas
...calculated to 7 decimal places. 66. Properties of Logarithms. I. The logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. II. The logarithm of a quotient is equal to the logarithm of the dividend diminished by the logarithm...
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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 a*-* — -• n Whence,...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1890 - 339 páginas
...henee its logarithm lies between 1 and 2, as does the logarithm of 74. 5. The logarithm of the produet 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 diminished by that of the divisor....
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