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In brief : to multiply, add logarithms. II. The logarithm of a fraction is equal to the difference obtained by subtracting the logarithm of the denominator from the logarithm of the numerator : log (os/6) = log a — log b. For, if 10' = a and 10£ •=...
Tables of six-figure logarithms. Stereotyped ed - Página xvi
por Richard Farley - 1840 - 80 páginas
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## Elements of algebra, compiled from Garnier's French translation of L. Euler ...

Charles Tayler - 1824
...adding together the logarithms of its factors; and the latter, that the logarithm of a fraction may be found by subtracting the logarithm of the denominator from the logarithm of the numerator ; and it follows from hence, that two numbers may be multiplied or divided, by the addition* or subtraction...
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## Key to the Exercises in Algebra: For the Use of the Teacher

Francis Joseph Grund - 1833 - 92 páginas
...the sum of the two logarithms, log A -f log B. Д 2. Ans. The logarithm of a fraction —is taken, by subtracting the logarithm of the denominator from the logarithm of the numerator ; thus : log A — log B. 3. Ans. The logarithm of a power A3 is taken by multiplying the logarithm...
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## A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1852 - 336 páginas
...the numerator by the logarithm of the denominator. The value of the logarithms may also be obtained by subtracting the logarithm of the denominator from the logarithm of the numerator, and finding the value of the remainder. Thus, Log. 3.380392 = 0.528967 Log 0.445098 =—1.926907 Ans....
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## Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1856 - 235 páginas
...fraction is the quotient ©f the numerator dl vided by the denominator, we may obtain its logarithm by subtracting the logarithm of the denominator from the logarithm of the numerator. Thus, the logarithm of fj is- log. 37— log. 53 = 1.568202- 1.724276 ^1.843926. In a similar manner...
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## Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1860 - 443 páginas
...fraction is the quotient of the numerator dl vided by the denominator, we may obtain its logarithm by subtracting the logarithm of the denominator from the logarithm of the numerator. Thus, the logarithm of f J is log. 37— log. 53 = 1-568202 - 1-724276 = 1-843926. In a similar manner...
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## Pure mathematics, Volumen1

Edward Atkins - 1874
...loga (mnpq) = logfl m + loga n + loga p + loga q. 23. The logarithm of the QUOTIENT of two numbers is found by SUBTRACTING the logarithm of the denominator from the logarithm of the numerator. Assuming, as in the last Art., we have — x = loga m,y = logo n. tn o? Also, — = — = a' ~ •,...
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## Elements of algebra

Edward Atkins - 1876 - 360 páginas
...loga (mnpq) = loga m + loga n + logap + loga q. 153. The logarithm of ike QUOTIENT of two numbers is found by SUBTRACTING the logarithm of the denominator from the logarithm of the numerator. Assuming, as in the last Art., we have — x = loga от, у = loga п. Also. — = — ; = ef~s, and...
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## Machinists' and Draftsmen's Handbook: Containing Tables, Rules, and Formulas ...

Peder Lobben - 1899 - 438 páginas
...decimal fraction, or by taking the logarithm of the numerator and the logarithm of the denominator and subtracting the logarithm of the denominator from the logarithm of the numerator ; the difference is the logarithm of the fraction. EXAMPLE. EXAMPLE. Log . % = log: 8 — log. 4 Log....
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## Trigonometry

Alfred Monroe Kenyon, Louis Ingold - 1913 - 256 páginas
...: to multiply, add logarithms. II. The logarithm of a fraction is equal to the difference obtained by subtracting the logarithm of the denominator from the logarithm of the numerator : log (a/ft) = log a — log 6. For, if 10' = a and 10^ = ft, then \WL = a -*• b. In brief : to divide,...
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## Constructive Text-book of Practical Mathematics

Horace Wilmer Marsh - 1913
...indicated division of the numerator by the denominator. Therefore the value of a fraction may be determined by subtracting the logarithm of the denominator from the logarithm of the numerator and by reading the antilogarithm of the remainder. When the logarithm of the dividend is smaller than...
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