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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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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. Letj/ = a1 and «/ — a*, therefore «/•«/'...
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The elements of algebra

Andrew Bell (writer on mathematics.) - 1839
...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
...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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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...during the reign of Mary. D LOGARITHMIC ARITHMETIC. (Two Hours allowed for this Paper,) Section 1. 1. Define a logarithm; and show that the logarithm...its number of integers. 3. One person out of 46 is said to die every year in England, and one out of 34 to be born ; if there were no emigration, in how...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - 1857 - 400 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 Mathematicall Tables

Joseph Allen Galbraith, Samuel Haughton - 1860 - 252 páginas
...which the rules for using logarithmic tables in numerical computations are derived. PROPOSITION I. t'he logarithm of the product of two numbers is equal to the sum of e logarithms of the numbers. If the numbers be N and M, let n = log N, and m = log Л/ to any ise a,...
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Manual of mathematical tables, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1860
...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 - 400 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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Elementary Trigonometry: With a Collection of Examples

Thomas Percy Hudson - 1862 - 184 páginas
...is called the logarithm of N with reference to a, or, as it is usually expressed, to the base a. 2. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. Let a be the base, M, N the numbers, and x and y their logarithms respectively...
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