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Bøker Bok 3140 av 53Ios- y" &cFrom which it is evident, that the logarithm of the product of any number...
" Ios- y" &cFrom which it is evident, that the logarithm of the product of any number of factors is equal to the sum of the logarithms of those factors. Hence... "
An Introduction to Algebra: With Notes and Observations : Designed for the ... - Side 187
av John Bonnycastle - 1818 - 260 sider
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ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY

ELIAS LOOMIS, LL.D. - 1859
...MULTIPLICATION BY LOGARITHMS. (11.) According to Art. 3, the logarithm of the product of two or more factors is equal to the sum of the logarithms of those factors. Hence, for multiplication by logarithms, we have the following RULE. Add the logarithms of the factors ; the...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1863
...it appears that in every system of logarithms, the logarithm p+p' of a product N N', composed of two factors, is equal to the sum of the logarithms of those factors. C. If we have any numbers A, is, c, D, how many soever, we may prove in a similar manner, that (using...
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A Treatise on Algebra

Elias Loomis - 1864 - 359 sider
...of the base a which is equal to NN' ; hence PROPERTY I. The logarithm of the product of two or more factors is equal to the sum of the logarithms of those factors. Hence we see that if it is required to multiply two or more numbers by each other, we have only to add their...
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Plane trigonometry and logarithms

John Walmsley - 1865 - 182 sider
...of N to the base a. So that if ax = N, then x = Iog0 N ; or if x = Iog0 N, then aC =• N. 109. TJie logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors. Let there be n factors of a number, namely, N,t N3, JVS, NH. Then it is required to prove...
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Navigation

James Pryde - 1867 - 458 sider
...since a~co=— 05 = °í a therefore the logarithm of о = — oo ; that is, equals — infinity. 64. The logarithm of the product of any number of factors...equal to the sum of the logarithms of those factors. Let P, Q, R, S, be any quantities, and x, y, z, v, their logarithms to any base a ; then . •. x =...
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Elements of algebra

1870
...yy'y"=log. y-(-log. y'-(-log y". F'rom which it is evident that the logarithm of the product of two or more factors is equal to the sum of the logarithms of those factors. (156.) Hence, if all the factors of a given number be supposed equal to each other, and the number...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 sider
...MULTIPLICATION BY LOGARITHMS. (11.) According to Art. 3, the logarithm of the product of two or more factors is equal to the sum of the logarithms of those factors. Hence, for multiplication by logarithms, wa have the following RULE. Add the logarithms of the factors ; the...
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The Complete Algebra: Designed for Use in Schools, Academies, and Colleges

Joseph Ficklin - 1874 - 418 sider
...like manner, (abc)n = a"ô"cn, and (abc . . . ¿)я = «"¿"с" . . . ¿". . • . TJie пл power of the product of any number of factors is equal to the product of the nth powers of those factors Again, (a")8 = «nx a" = a"+" = a2", (a")s = an x a" x a"...
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Tables of the Common Logarithms and Trigonometrical Functions to Six Places ...

1875 - 517 sider
...log .g=a—b, log Ac=ac, log VA=-, Hence we sec that the logarithm of a product of two factors (or of any number of factors) is equal to the sum of the logarithms of the two factors taken separately. Further, the logarithm of the quotient of one number divided by another...
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ELEMENTARY ARITHMETIC, WITH BRIEF NOTICES OF ITS HISTORY

ROBERT POTTS - 1876
...it may be shewn that the log a {w! . w a . w a . : . . } =logA + log a « 2 + log a % + . . . . Or that the logarithm of the product of any number of^...factors,., is equal to the sum. of the logarithms of the several factors. 3. PROP. To finti the logarithm of the quotient of two numbers. Here «i^« 10...
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