| James Thomson - 1848 - 326 pages
...logarithm of any number in that system by the Neperian logarithm of the same number; and, conversely, the logarithm of a number in any system is equal to the product of its Neperian logarithm by the modulus of the system, * To the series here investigated,... | |
| Elias Loomis - Algebra - 1868 - 386 pages
...By taking nine terms of this series, we find a=2.718282, which is the base of Napier's system. 427. The logarithm of a number in any system is equal to...multiplied by the Naperian logarithm of the number. If we designate Naperian logarithms by Nap. log., and logarithms in any other system by log., then,... | |
| William Batchelder Greene - Differential calculus - 1870 - 120 pages
...logarithms in the Naperian table by 0.43429 . . . In fact, it may be noted generally, that (Art. 76) The logarithm of a number in any system is equal to...multiplied by the Naperian logarithm of the number. 81. The natural number answering in the table of the common logarithms to 0.43429 ... is 2.718281828... | |
| Catherinus Putnam Buckingham - Calculus - 1875 - 374 pages
...a=e" hence p==esm=en wherefore n 1 n=sm or in=-=—n but — is the modulus of the system, and hence The logarithm of a number in any system is equal to the Naperian logarithm of that number multiplied by the modulus of the system. This property is not peculiar... | |
| Catherinus Putnam Buckingham - Calculus - 1875 - 362 pages
...n a=e* hence wherefore n 1 =^sm or- ,«=—-— » but — is the modulus of the system, and hence The logarithm of a number in any system is equal to the Naperian logarithm of that number multiplied by the modulus of the system. This property is not peculiar... | |
| Edward Albert Bowser - Calculus - 1880 - 424 pages
...the same number in different systems are to each other as the moduli of those systems; and also, that the logarithm of a number in any system is equal to the Naperian logarithm of the same number into the modulus of the given system. Сов. 2. — Dividing... | |
| James Morford Taylor - Calculus - 1884 - 270 pages
...systems. COR. 2. If, in (11) of Cor. 1, we let a'=e, we have m'= 1, and logay = mlogy. (12) Hence, the logarithm of a number in any system is equal to the Naperian logarithm of the same number multiplied by the modulus ofthat system. COR. 3. If, in (12)... | |
| James Morford Taylor - Algebra - 1889 - 400 pages
...reciprocal of the Napierian logarithm of its base. 321. From (2) and (3) of § 320 we have log, N= m log, N. That is, the logarithm of a number in any system is equal to the Napierian logarithm of the same number multiplied by the modulus of that system. 322. Value of M. If... | |
| Carl Hering - Physics - 1904 - 220 pages
...base of that system. Modulus of Naperian system =1s. log,, of e = 1. The logarithm of a number (n) in any system is equal to the modulus of that system...multiplied by the Naperian logarithm of the number. Or: Modulus of common system = • 1s.log/ of 10 = 0.434294481903252. Logic n = modulus (comm~n system)... | |
| Carl Hering - Physics - 1904 - 224 pages
...-= 1 . Modulus of common system - 1 + Ing, of 10 = 0.434294481903252. The logarithm of a number (n) in any system is equal to the modulus of that system...multiplied by the Naperian logarithm of the number. Or: Login та = modulus (common system) X log,, n. Log« n = modulus (Naperian system = 1 ) X log,... | |
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