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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 Mathematicall Tables - Página vii
por Joseph Allen Galbraith, Samuel Haughton - 1860 - 252 páginas
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The Fluxional Calculus: An Elementary Treatise ...

Thomas Jephson - 1826
...\ « / 'Va/ series. Hence /. 10 = '9 + -'- x ('9)2 4- fx ('9)3 + &c. = 2-302585093, £c. 23. ÏVze logarithm of the product of two numbers is equal to the sum of their logarithms, and the logarithm of the quotient is equal to the difference of their logarithms....
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The elements of algebra

Andrew Bell (writer on mathematics.) - 1839 - 502 páginas
...2* = 16, ... in this system 2 = 14, 3 = 18, 4 = 116. . GENERAI, PROPERTIES OF LOGARITHMS. (501.) 1 The logarithm of the product of two numbers is equal to the sum of the logarithms of these numbers.1 For let aх = y, and aх, .= y', then for the base a, x = ly, and...
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Manual of plane trigonometry, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1852
...N= ID", M= 10m. If we multiply these, NX M= 1o**™; therefore, log NX M—n + m = log N + log if. PROPOSITION I. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. If we divide the former of these equations by the latter N__ therefore...
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Calendar

University of Sydney - 1853
...or (J) a lava ; or (<•) hypabyssal ; or (rf) plutonic ? MATHEMATICS I. FIRST PAPER. 1. Explain why the logarithm of the product of two numbers is equal to the sum of the logarithms of the two numbers. Find 1 he cube root of 1002-5 and the fifth power of 1-025, using...
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Manual of plane trigonometry, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1854
...solely on the position of the decimal point. PROPERTIES OF LOGARITHMS. 2. We shall now demonstrate four propositions from which the rules for using logarithmic...PROPOSITION I. The logarithm of the product of two numbers ie equal to the sum of fhf logarithme of the numbers. If the numbers be N and M, let я = log N, and...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...LOGARITHMIC ARITHMETIC. (Two Hours allowed for this Paper,) Section 1. 1. Define a logarithm; and show that the logarithm of the product of two numbers is equal to the sum of their logarithms ; and the logarithm of their quotient, to the difference of their logarithms. 2. Show...
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National Society's Monthly Paper

1855
...annual motion of the Earth. LOGARITHMIC ARITHMETIc. SECT. I.— 1. Define a logarithm; and show that the logarithm of the product of two numbers is equal to the sum of their logarithms, and the logarithm of their quotient to the difference of their logarithms. 2. Show...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - 1857 - 408 páginas
...since a is the base of the system, we have from the definition, x' + x" = log (Nt x N") ; that is, The logarithm of the product of two numbers is .equal to the turn of their logarithms. 231. If we divide equation (1) by equation (2), member by member, we have,...
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Manual of mathematical tables, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1860
...from which the rules for using logarithmic tal1ies in numerical computations are derived. PROPOSITI°N I. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. If the numbers be N and M, let n = log N, and m = log M to any base...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - 1860 - 412 páginas
...since a is the base of the system, we have from the definition, 3/ + x" = log (N' x N") ; that is, The logarithm of the product of two numbers is equal to the tum of their logarithms. 231 • If we divide equation (1) by equation (2), member by member, we have,...
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