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Bøker Bok 110 av 47Ios- 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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A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - 1813
...Callet, and Borda, where every itecessary information, of this kind, rnay be readily obtained. From which it is evident, that the logarithm of the product...be denoted by m, the preceding property will then become m log. ?/ = log. ym. From which it appears, that the logarithm of the wth power of any number...
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An Elementary Treatise on Algebra

Bewick Bridge - 1818 - 227 sider
...the logarithm of 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"";...
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A Treatise on the Elements of Algebra

Bewick Bridge - 1821 - 227 sider
...the logarithm of 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""\ .'. the...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - 1825 - 312 sider
...of this kind may 6e readily obtained. From which it is evident, that the logarithm of the pro-- duct of any number of factors is equal to the sum of the...to each other, and the sum of them be denoted by. in, the preceding, property will then become log. yn=m log. y. From which it appears, that the logarithm...
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A Treatise on the Elements of Algebra

Bewick Bridge - 1828 - 224 sider
...shewn that the logarithm of n ra'я"ra'",&c. = log. я + log. ra' + log. ?i" + log. n" + &c. ; ie " the logarithm of the " product of any number of factors is equal to the sum of their " logarithms" 181. Again, — = -*m=.ax— *""; but the logarithm of a*-1"" =x— x""; .'.the...
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Mathematical and Astronomical Tables: For the Use of Students of Mathematics ...

William Galbraith - 1827 - 322 sider
...be shown that the logarithm of nx я' x n", &c.=log. n_(-log. n' + 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 r1 11. Again — =—¿¡ but the logarithm of r*-*=x — x' ; therefore, fb Т...
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Mathematics for Practical Men

Olinthus Gregory - 1833 - 427 sider
...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. 6. If we have any numbers A, B, c, D, how many soever, we may prove in a similar manner, that (using...
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Mathematical and Astronomical Tables: For the Use of Students in Mathematics ...

William Galbraith - 1834 - 428 sider
...might be shown that 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, N the...
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The elements of plane trigonometry, Volum 1

John Charles Snowball - 1837
...connecting the 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(mnr..) = \am + }an + }ar...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - 1838 - 307 sider
...a similar manner a »+''+'" = nrin" and so on. Or in general the logarithm of a product of several factors is equal to the sum of the logarithms of those factors seperately. * As the number 3905073 is too large to be found in the tables, the method of finding its...
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