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 Βιβλία Βιβλία 1 - 10 από 34 για The logarithm of the product of any number of factors is equal to the sum of the.... The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors. Higher Arithmetic: Designed for the Use of High Schools, Academies, and ... - Σελίδα 326
των George Roberts Perkins - 1849 - 342 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - 1813
...itecessary information, of this kind, rnay be readily obtained. From 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, if all the factors of a given number, in any case of... ## An Elementary Treatise on Algebra

Bewick Bridge - 1818 - 227 σελίδες
...nn'ri'ri", &c. =log. n -flog, n'+log. м'' + log. ra'" + &c. ; from which we infer that " the logarithm of the product of any number of factors is equal to the sum of their.logarithms." N a* 174. Again, _ = — =ax~*""; but the logarithm of a*-*"" n o."" N =x—x"";... ## An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 260 σελίδες
...&c. ; or los- yy'y" &c- =1°g- y+ i°s- y'+ 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, if all the factors of a given number, in any case of... ## A Treatise on the Elements of Algebra

Bewick Bridge - 1821 - 227 σελίδες
...nriri.ri", &c. = log.re + log. я. + log. я" + log. re." + &c.; from which we infer that " the logarithm of the product of any number of factors is equal " to the sum of their logarithms." 174. Again, — = ~— a'-""; but the logarithm of a*-""" na N =x—x""\... ## Mathematical and Astronomical Tables: For the Use of Students in Mathematics ...

William Galbraith - 1834 - 428 σελίδες
...the logarithm of nx «' x n", &c.=log. n+log. w'+log. n", &c., from which we infer that the logarithm of the product of any number of factors is equal to the sum of their logarithms. N r* 11. Again — = -jr; but the logarithm of r*— *'=x — x' ; therefore,... ## The elements of plane trigonometry, Τόμος 1

John Charles Snowball - 1837
...logarithms of a number in the two systems whose bases are a and e, is = — . lea 4. The logarithm of the product of any number of factors is equal to the sum of the logarithms of the several factors. For mnr.. = a1am.a1an.a1ar... But т.и.r... = a .-.... ## A Treatise on the Elements of Algebra

Bewick Bridge - 1839 - 224 σελίδες
...that the logarithm of nn'ri'ri", &c.=log. n+log. n' + log. n" + log. n'" + &c. ; ie "the logarithm of the product of any number of factors is equal to the sum of their logarithms." N at 181. Again, — =^7T1—a'^c"" ; but the logarithm of a*-*""— N x... ## Elements of Algebra: Including Sturm's Theorem

1845 - 368 σελίδες
...quantities themselves are equal : hence, y a6c . . . . = yaxy 6 Xyc.... that is, the nth roo£ «/" the product of any number of factors, is equal to the product of their nm roots. 1. Let us apply the above principle in reducing to its simplest form the imperfect power,... ## A Treatise on Algebra

Elias Loomis - 1846 - 346 σελίδες
...principle, which is merely an extension of that already proved in the preceding Article. The nth root of the product of any number of factors is equal to the product of the nth roots of those factors. Or in algebraic language For raise each of these expressions to the... ## A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - 1846 - 503 σελίδες
...radicals of the second, third, or n rt degree, according to the index of the root required. The n a root of the product of any number of factors is equal to the product of the n rt roots of the different factors. Or, in algebraic language, = V« XV * X liaise each of these...