 | 1816 - 746 sider
...of that number, multiplied by the exponent of the power ; alfo, that the logarithm of any root of a number is equal to the logarithm of the number divided by the exponent of the root. (42.) There may- be various fyftems of logarithms, according to the different... | |
 | Thomas Curtis (of Grove house sch, Islington) - 412 sider
...of that number, multiplied by the exponent of the power ; also, that the logarithm of any root of a number is equal to the logarithm of the number divided by the exponent of the root. 42. There may be various systems of logarithms, according to the different values... | |
 | Charles Davies - 1830 - 390 sider
...equation az=n, x be taken, then, a'"=nm ; but - is the logarithm of nm ; from which it appears, that the logarithm of the root of any number, is equal to the logarithm of that number divided by the index of the root. 8. It is evident, that the results obtained in the last... | |
 | Robert Gibson - 1833 - 436 sider
...equation ax=n, x- I x 1 be taken, then, am=nm; but- is the logarithm of nm; from 771 which h appears, that the logarithm of the, root of any number, is equal to the logarithm of that number divided by the index of the root. 8. It is evident, that the results obtained in the last... | |
 | George Darley - 1835 - 142 sider
...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...logarithm of the number divided by the index of the root, 9. . THE APPLICATION OF ALGEBRA TO GEOMETRY. DEF. The area of a figure is the .portion of space contained... | |
 | 1836 - 192 sider
...- ix . be taken, then, am = rem; but- is the logarithm of nm ; from m -- • which it appears, that the logarithm of the root of any number, is equal to the logarithm of that number divided by the index of the root. 8. It is evident, that the results obtained in the last... | |
 | Benjamin Peirce - 1837 - 302 sider
...equation, it becomes log. p = n log. or , " log. n log. V>= -~n that is, the logarithm of any root of a number is equal to the logarithm of the number divided by the exponent of the root. 11. Corollary. The equation log. m m' = log. m -f log. m', gives log. m' = log.... | |
 | Benjamin Peirce - 1837 - 300 sider
...equation, it becomes log. p = n log. or " log. p log. VP = =3* that is, </ie logarithm of any root of a number is equal to the logarithm of the number divided by the expon ent of the root. 11. Corollary. The equation log. mm' = log. m -f log. m,, gives log. m, = log.... | |
 | John Hymers - 1841 - 244 sider
...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...logarithm of the number divided by the index of the root. Since т ч cf, .: <t/m •» v/0* = ar, _ л i * * De V " / — V Oft r* TT 11. Hence, if we have... | |
 | Nathan Scholfield - 1845 - 506 sider
....: by def. (2), — is the logarithm of N •> that is to say, The logarithm of any root of a given number is equal to the logarithm of the number divided by the index of the root. Combining the two last cases, we shall find, m in v N~r = a~ whence, — is the logarithm of N "«".... | |
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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. 
