 | Adrien Marie Legendre - 1871 - 490 páginas
...of (4), we have, whence, by the definition, * = log ?Jm. - . . . ( 9.) That is, the logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. The preceding principles enable us to abbreviate the oper at1ons of multiplication and division,... | |
 | Charles Davies - 1872 - 464 páginas
...4 ), we have, • «d' = \/m ; whence, by the definition, ~ .... (9.) That is, the logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. TABLE OB LOGARITHMS. 9. A TABLE OF LOGARITHMS, is a table containing a set of numbers and their... | |
 | Aaron Schuyler - 1873 - 536 páginas
...the fifth power of .9. .Ans. .59049. EVOLUTION BY LOGARITHMS. 25. Proposition. The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. Let (1) b• = n; then, by def., log n = x. = (2) b'r —\/n; then, by def., log V/'n = — •... | |
 | Charles Elsee - 1873 - 320 páginas
...above proof be considered fractional ( = - J, we have also ^ = 7 1ов.». ic the logarithm of a root is equal to the logarithm of the number, divided by the index of the root. 161.— PROP. Logawi = Log,,™ x Logai. For let logb m = y, and log„ Ь = z, then m = Ъ",... | |
 | Adrien Marie Legendre - 1874 - 500 páginas
...have, 10r = whence, by the definition, * = log 'Jm. ' • • • ( 9.) That is, the logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. The preceding principles enable us to abbreviate the oper ations of multiplication and division,... | |
 | Charles Davies - 1874 - 464 páginas
...4 ), we have, whence, by the definition, " = log^ . • • • (9.) That is, the logarithm of any root of a number is equal to the logarithm of the number divided by t/1e index of tie root. TABLE OF LOGARITHMS. 9. A TABLE OF LOGARITHMS, is a table containing a set... | |
 | 1874 - 1186 páginas
...have log. y* (or log. */ y) = — log. y ; that is to say, the logarithm of any root of a number ia equal to the logarithm of the number divided by the index of the root. From these two last results it is obvious that by means of a table of logarithms numbers may... | |
 | Aaron Schuyler - 1875 - 284 páginas
...the fifth power of .9. Am. .59047. I EVOLUTION BY LOGARITHMS. f 25. Proposition. The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. Let (1) b' = n; then, by def., log n = x. V(l) = (2) br =\/n; then, by def., log Vх n = —... | |
 | William Guy Peck - 1875 - 348 páginas
...whence, by definition, ^ = Log tfm .... (8) hence, the following principle: 4°. Tlie logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. The applications of the above principles require a table of logarithms. A table of logarithms,... | |
 | Horatio Nelson Robinson - 1875 - 430 páginas
...then z = log. m. By involution, m' = a" ; therefore, log. (mr) =rx = r log. m. 6. The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. For, let m = a' ; then x — log. m. • By evolution, A/m = a' ; ,, , r,— x log. m therefore,... | |
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The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 
