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Books Books 1 - 10 of 81 on The logarithm of the product of two numbers is equal to the sum of the logarithms....  
" The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. "
A system of popular trigonometry - Page vi
by George Darley - 1835
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The fluxional calculus: An elementary treatise ...

Thomas Jephson - Calculus - 1826
...'Va/ series. Hence /. 10 = '9 + -'- x ('9)2 4- fx ('9)3 + &c. = 2-302585093, c. 23. Vze 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/...
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The elements of algebra

Andrew Bell (writer on mathematics.) - 1839
...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
...multiply these, NX M= 1o**; therefore, log NX Mn + 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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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - Schools - 1855
...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 that...
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National Society's Monthly Paper

1855
...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 that...
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Manual of mathematical tables, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1860
...for using logarithmic tal1ies in numerical computations are derived. PROPOSITIN 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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Manual of mathematicall tables

Joseph Allen Galbraith, Samuel Haughton - Mathematics - 1860 - 252 pages
...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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Elementary trigonometry

T. Percy Hudson - Trigonometry - 1862 - 184 pages
...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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New University Algebra: A Theoretical and Practical Treatise Containing Many ...

Horatio Nelson Robinson - Algebra - 1863 - 420 pages
...let a* = a; then x = log. a. But by (88), if a' = a, then x = 1, or log. a = 1. 3. The 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. от, z = log. n. But by...
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Elements of Surveying and Levelling: With Descriptions of the Instruments ...

Charles Davies - Leveling - 1871 - 431 pages
...member, we have, 10" +q = mn; whence, by the definition, p + q = log (mn) (6.) That is, the logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. 6. Dividing (4) by (5), member by member, we have, whence, by the definition,...
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