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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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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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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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Elementary Mathematical Analysis: A Text Book for First Year College Students

Charles Sumner Slichter - 1914 - 490 páginas
...by definition of a logarithm §132: loga nr = x + y or, by (1) loga nr = Iog0 n + loga r (3) Hence, the logarithm of the product of two numbers is equal to the sum of the logarithms of those numbers. In the same way, if log,, s =z , then: nrs = aI+"+* that is, loga...
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Plane and Spherical Trigonometry

George Wentworth, David Eugene Smith - 1915 - 230 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 к«т of the logaritJinis of the numbers. Let A and В be the numbers, and x and y their logarithms....
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Plane and Spherical Trigonometry

George Neander Bauer, William Ellsworth Brooke - 1917 - 313 páginas
...illustrated is peculiar to the system of logarithms of which 10 is the base. 4. Laws of logarithms. (a) The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. Given a* = m (1) or Iog0 m = x (3) a" = и (2) or loga n = y. (4) From...
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ELEMENTARY FUNCTIONS AND APPLICATIONS

ARTHUR SULLIVAN GALE, CHARLES WILLIAM WATKEYS - 1920
...easily deduced from the corresponding properties of the exponential function as follows: 7. Theorem. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. Let p = bmj whence Iog6 p = m, and q = bn, whence log& q = n. Then pq...
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Bulletin, Temas1-11

1909
...Omit one question from each of the groups A, B, C. A. 1. (a) Logi 64=3: find the value of a. (6) Prove that the logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. 2. Prove the identity (sin 0+cos 8) (tan 0+cot 6) =sec 0+cosec 0 3....
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The Slide Rule: A Study Guide to be Used with USAFI Course C858

Warren Clarence Young - 1962 - 91 páginas
...expressed, it is understood to be 10. Pages 60-64. The first property of logarithms given above states that the logarithm of the product of two numbers is equal to the sum of the logarithms of the two numbers. If you read these pages carefully, you will see that when you multiply...
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