 | 1816 - 746 pàgines
...number is equal to the logarithm 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,... | |
 | Peter Nicholson - 1825 - 1046 pàgines
...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... | |
 | Thomas Curtis (of Grove house sch, Islington) - 412 pàgines
...number is equal to the logarithm 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... | |
 | Charles Davies - 1830 - 390 pàgines
...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 four articles are equally true, whether the... | |
 | Charles Davies - 1830 - 318 pàgines
...- 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... | |
 | Robert Gibson - 1833 - 436 pàgines
...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 four articles are equally true, whether the... | |
 | 1836 - 192 pàgines
...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 four articles are equally true, whether the... | |
 | Benjamin Peirce - 1837 - 302 pàgines
...substitute m = Vp, in the above 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.... | |
 | Benjamin Peirce - 1837 - 300 pàgines
...= */p, in the above equation, it becomes n log. p = » log. V>, or * log! p log- Vp = *&* 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 + log.... | |
 | Benjamin Peirce - 1837 - 300 pàgines
...*»", • m = in the above 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.... | |
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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. 
