 | Peter Nicholson - 1825 - 1046 halaman
...root multiplied by the index of the power, and 4th. The logarithm of any root of a number is cqidl to the logarithm of that number divided by the index of the root. On these four properties the following rules arc founded. TABLES OF LOGARITHMIC SINES, TANGENTS, of... | |
 | Charles Davies - 1830 - 318 halaman
...- is the logarithm of nm ; from which it appears, tlmt the logarithm of the root of any number, it equal to the logarithm of that number divided by the index of tha root. 8. It is evident, that the results obtained in the last four articles are equally true, whether... | |
 | George Darley - 1835 - 142 halaman
...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 by the index of the root, 9. . THE APPLICATION OF ALGEBRA TO GEOMETRY. DEF. The... | |
 | John Hymers - 1841 - 244 halaman
...m = a', .-. m' = (a')' « a", where r is any number whole or fractional, positive or negative. 10. The logarithm of the root of any number is equal to the logarithm of the number divided by the index of the root. Since т ч cf, .: <t/m •» v/0* = ar, _ л i * * De... | |
 | William Chauvenet - 1843 - 102 halaman
...of the power; the product is the logarithm of the required power. 63. The logarithm of any root of a number is equal to the logarithm of that number divided by the index of the root. For to extract the nth root of the equation a1-**— ft, we divide the exponents of each member by... | |
 | Elias Loomis - 1846 - 376 halaman
...according to the definition, - is the logarithm of N" ; that is to say, The logarithm of any root of a number, is equal to the logarithm of that number divided by the index of the root. EXAMPLES. Ex. 1. Find the square root of 81 by means of logarithms. The logarithm of 81 is 1.908485... | |
 | Elias Loomis - 1846 - 380 halaman
...according to the definition, - is the logarithm of N" ; that is to say, . The logarithm of any root of a number, is equal to the logarithm of that number divided by the index of the root. EXAMPLES. Ex. 1. Find the square root of 81 by means of logarithms. The logarithm of 81 is 1.908485... | |
 | Henry Law - 1853 - 84 halaman
...m, is equal to n times the lugar rithm of m. PROPOSITION P. THEOREM. The logarithm of any root of a number, is equal to the logarithm of that number, divided by the exponent of the root. Let X = log;, m, then m = 6X ; let the square root of m = x, and the logarithm... | |
 | Elias Loomis - 1855 - 356 halaman
...to the definition, — is the logarithm of i N"; hence PROPERTY IV. The logarithm of any root of a number is equal to the logarithm of that number divided by the index of the root. EXAMPLES. Ex. 1. Find the square root of 81 by means of logarithms The logarithm of 81 is 1.908485... | |
 | John Hymers - 1858 - 324 halaman
...log„ (m') =rx = r log„ »»?, where r is any number whole or fractional, positive or negative. 10. The logarithm of the root of any number is equal to the logarithm of the number divided by the index of the root. Since m = a", .: log„ (Jm) = ^ = — (log.«»). 11.... | |
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The logarithm of the ROOT of any number is equal to the logarithm of the number divided by the index of the root. For, let n be any number, and take the equation (Art. 
