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" The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. "
Binomial Theorem and Logarithms: For the Use of the Midshipmen at the Naval ... - Página 50
por William Chauvenet - 1843 - 92 páginas
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Plane Trigonometry

Daniel Alexander Murray - 1906 - 472 páginas
...logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors. (2) The logarithm of the quotient of two numbers is equal to the logarithm of the numerator diminished by the logarithm of the denominator. (4) The logarithm of the...
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Standard Algebra

William James Milne - 1908 - 474 páginas
...numbers to a common base represent exponents of the same number, it follows that: 576. PKIXCIPLK. — The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minn» the logarithm of the divisor ; that is, To any base, log (?» -=-«)...
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The New International Encyclopæeia, Volumen12

Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - 1909
...calculation : ( 1 ) The logarithm of a product is equal to the sum of the logarithms of its factors. (2) The logarithm of the quotient of two numbers is equal to the logarithm of the dividend less the logarithm of the divisor. (3) The logarithm of a number affected...
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Practical Algebra (revised) Prepared for the Use of the Midshipmen at the ...

Stimson Joseph Brown, Paul Capron - 1910 - 212 páginas
...orlog6»=y. We have m« =&*.&!' = &«"*, whence, by definition, Iog6 ( ran) = logs m + Iog6 n. IV. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. Using the same quantities as in III,...
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New High School Algebra

Webster Wells, Walter Wilson Hart - 1912 - 504 páginas
....-. log, (M-^- N) = x — y. Therefore, loga (M -=- N) = log,, M — loga Ж Rule. — In any system, the logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. EXAMPLE 1. Given log 2 = .3010 and log...
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Second Course in Algebra

Webster Wells - 1913 - 360 páginas
....'. log, (Mt- N) = x — у. Therefore, loga (Mt- N) — log, M — log, N. Rule. — In any system, the logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. EXAMPLE 1. Given log 2 = .3010 and log...
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Plane and Sperical Trigonometry (with Five-place Tables): A Text-book for ...

Robert Édouard Moritz - 1913 - 560 páginas
...cologio 3.1623. 3-1623 = log = log M + log = log M + colog N, Since — = M • — , we have NN that is, The logarithm of the quotient of two numbers is equal to the logarithm of the dividend plus the cologarithm of the divisor. EXERCISE 15 1. Given 53= 125, 52 = 25,...
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Plane Trigonometry with Tables

Claude Irwin Palmer, Charles Wilbur Leigh - 1914 - 288 páginas
...the colog N = log -^ = log 1 — log N. Ml Also log -^r = log M + log — = log M + colog N, that is: The logarithm of the quotient of two numbers is equal to the logarithm of the dividend plus the cologarithm of the divisor. The logarithm of the quotient of two...
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Plane Trigonometry and Tables

George Wentworth, David Eugene Smith - 1914 - 314 páginas
...log ЛВС = log -a + logB + log C, and so on for any number of factors. 41. Logarithm of a Quotient. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. For if A = 10?, and В = 10», then —...
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Plane and Spherical Trigonometry

Claude Irwin Palmer, Charles Wilbur Leigh - 1916 - 188 páginas
...colog N = log •— = log 1 — log N. M 1 Also log -jy = log M + log д= = log M + colog N, that is: The logarithm of the quotient of two numbers is equal to the logarithm of the dividend plus the cologarithm of the divisor. To find the cologarithm of a number,...
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