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" The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. log» MN = log» M + log "
The Field Engineer: A Handy Book of Practice in the Survey, Location, and ... - Página 2
por William Findlay Shunk - 1908 - 345 páginas
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College Algebra: With Applications

Ernest Julius Wilczynski - 1916 - 507 páginas
...of logarithms, Iog0 (MN) = x + y = Iog0 M + logo N, *. and this equation proves the theorem. VIII. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. PROOF. Using the same notations as in the proof of VII, we find...
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Elementary Algebra: Second Year Course

Florian Cajori - 1916
...Ni, L+L! = logarithm of N • N¡. Hence, the theorem, The logarithm of the product of two positive numbers is equal to the sum of the logarithms of the numbers. 112. The integral part of a logarithm is called its characteristic, and the decimal part is called...
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Elementary Algebra: First[-second] Year Course, Volumen2

Florian Cajori - 1916
...N1, L-\-Li = logarithm of N • Nv Hence, the theorem, TTie logarithm of the product of two positive numbers is equal to the sum of the logarithms of the numbers. 112. The integral part of a logarithm is called its characteristic, and the decimal part is called...
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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 the law of exponents ax+v =...
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Mathematics for Collegiate Students of Agriculture and General Science

Alfred Monroe Kenyon, William Vernon Lovitt - 1917 - 337 páginas
...whence Iog6 MN = k + I = log;, M + Iog6 N. This can readily be extended to three or more factors. 4) The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. For, — = _ = 6* it therefore log;,— = k — I = log;, M —...
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Plane and Spherical Trigonometry

Leonard Magruder Passano - 1918 - 144 páginas
...theorem replaces the operation of multiplication by the simpler operation of addition. II. In any system the logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. a* = m To prove, log.= n = log„ m — li Let log0m bg0 n = x...
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Plane and Spherical Trigonometry

Leonard Magruder Passano - 1918 - 141 páginas
...theorem replaces the operation of multiplication by the simpler operation of addition. II. In any system the logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. To prove, log0 — = log0 m — log0 n. n Let log0 m = x then of...
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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 = bmbn = bm+n. Therefore log?,...
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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 two numbers using...
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Fluid, Electrolyte, and Acid-base Regulation

Jack L. Keyes - 1990 - 239 páginas
...the Henderson equation. First, take the logarithm of both sides of Equation 5-12, (5-13) J The log of the product of two numbers is equal to the sum of the logarithms of the two numbers, hence, (5-14) •[B-] " [B-] Substituting Equation 5-14 into 5-13, , L*"^J /C 1 C "\ multiplying...
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