| Charles Tayler - 1824 - 350 páginas
...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... | |
| Francis Joseph Grund - 1833 - 106 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... | |
| Benjamin Greenleaf - 1852 - 348 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.... | |
| George Roberts Perkins - 1856 - 460 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... | |
| George Roberts Perkins - 1860 - 472 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... | |
| Edward Atkins - 1874 - 426 páginas
...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' ~ •,... | |
| Edward Atkins - 1876 - 378 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... | |
| Peder Lobben - 1899 - 460 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.... | |
| Alfred Monroe Kenyon, Louis Ingold - 1913 - 184 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,... | |
| Horace Wilmer Marsh - 1913 - 460 páginas
...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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