 | John Bonnycastle - Algebra - 1813 - 456 pages
...Borda, where every itecessary information, of this kind, rnay be readily obtained. From which it is evident, that the logarithm of the product of any...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 is equal... | |
 | Bewick Bridge - Algebra - 1818 - 254 pages
...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"";... | |
 | Bewick Bridge - Algebra - 1821 - 284 pages
...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... | |
 | John Bonnycastle - Algebra - 1825 - 336 pages
...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... | |
 | Bewick Bridge - Algebra - 1828 - 260 pages
...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... | |
 | William Galbraith - Astronomy - 1827 - 412 pages
...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... | |
 | William Galbraith - Astronomy - 1834 - 454 pages
...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... | |
 | John Charles Snowball - 1837 - 322 pages
...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... | |
 | Charles William Hackley - Trigonometry - 1838 - 328 pages
...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... | |
 | Bewick Bridge - Algebra - 1839 - 280 pages
...might be shown 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 — -x"";... | |
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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. 
