| 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... | |
| 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"";... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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