 | George Darley - 1835 - 142 páginas
...numbers is equal to the difference of their logarithms, 7ART. 5. The logarithm of the power of any number is equal to the logarithm of the number multiplied by the index of the power, 8. AHT. 6. The logarithm of the root of any number is equal to the logarithm of the number divided... | |
 | Silas Totten - 1836 - 320 páginas
...supposing the logarithms of both members known, 1.6* = Ie It has been shown, that the logarithm of any power of a number, is equal to the logarithm of the number itself, multiplied by the exponent of the power (111) ; hence, \.b" = x\.b, and therefore we have,... | |
 | Benjamin Peirce - 1837 - 300 páginas
...or log. m" = » log. m ; Logarithm of Root, Quotient, and Reciprocal. that is, the logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 10. Corollary. If we substitute p = *»", • m = in the above equation, it... | |
 | Benjamin Peirce - 1837 - 302 páginas
...or log. mn = n log. TO ; Logarithm of Root, Quotient, and Reciprocal. that is, the logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 10. Corollary. If we substitute m = Vp, in the above equation, it becomes log.... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 500 páginas
...logarithms.1 For ax -=- a* = - or e"' = -; and hence x — ж'= l ~, У У1 У' or l?L = ly — ty (503.) ' The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power.1 If ax = y, then а«.т = yn ; and therefore nx = lyn, or ly" = nly (504.)... | |
 | Nathan Scholfield - 1845 - 894 páginas
....-. by def. (2), nx is the logarithm of N ", that is to say, The logarithm of any power of a given number is equal to the logarithm of the number multiplied by the exponent of the power. IV. Extract the »** root of both members of equation.(l). _1_ X N n= x _L .•.... | |
 | Nathan Scholfield - 1845 - 542 páginas
...„•. by def. (2), nx is the logarithm of N ", that is to say, The, logarithm of any power of a given number is equal to the logarithm of the number multiplied by the exponent of the power. IV. Extract the n" root of both members of equation (1). x JL .: by def. (2),... | |
 | Nathan Scholfield - 1845 - 244 páginas
....*. by def. (2), na; is the logarithm of N ", that is to say, The logarithm of any power of a given number is equal to the logarithm of the number multiplied by the exponent of the power. IV. Extract the w** root of both members of equation (1). x _ .-. by def. (2).... | |
 | Charles William Hackley - 1846 - 542 páginas
....•. by definition, nx is the logarithm of N" ; that is to say, The logarithm of any power of a given number is equal to the logarithm of the number multiplied by the exponent of the power. IV. Extract the »ith root of both members of equation (1). i * N~°=<z°. x... | |
 | Adrien Marie Legendre - 1852 - 436 páginas
...10mX"=Mn, in which m X n is the logarithm of M n (Art. 1) : hence, The logarithm of any power of a given number is equal to the logarithm of the number multiplied by the exponent of the power. 16. Taking the same equation, IQ™=M, and extracting the nib. root of both... | |
| |
The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 
