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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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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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Calendar

University of Sydney - 1904
...are respectively equal to a, b and c, prove that — — -^=«. ao 10. Define a logarithm and prove that the logarithm of the product of two numbers is equal to the sum of their logarithms. Find the value of = • — . (3-721)"tf Given log 8-4=-9243, log 6'72='8274, log 3'721=-5707, log...
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Science Examinations ... Reports, Etc

1906
...it was not often taken. C. In TRIGONOMETRY the work was on the whole fairly good. Q. 33. Explain why the logarithm of the product of two numbers is * equal to the sum of the logarithms of the numbers. By means of logarithms given below, find the fifth root, and the fifth...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1908 - 345 páginas
...lies between 10 and 100; hence its logarithm lies between 1 and 2, as does 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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東北数學雑誌, Volúmenes29-30

1928
[ Lo sentimos, el contenido de esta página está restringido. ]
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Plane Trigonometry and Tables

George Wentworth, David Eugene Smith - 1914 - 314 páginas
...log 0.0001 = 0. 48. log 10,000 - log 1000 + log 100,000 - log 100 = 4. 40. Logarithm of a Product. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. Let A and В be the numbers, and x and y their logarithms. Then, taking...
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