 | 1816 - 746 páginas
...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,... | |
 | Thomas Curtis (of Grove house sch, Islington) - 412 páginas
...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 páginas
...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... | |
 | Robert Gibson - 1833 - 436 páginas
...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... | |
 | 1836 - 192 páginas
...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... | |
 | Benjamin Peirce - 1837 - 302 páginas
...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 páginas
...= */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 páginas
...*»", • 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.... | |
 | William Chauvenet - 1843 - 102 páginas
...of the number by the exponent 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... | |
 | Elias Loomis - 1846 - 380 páginas
...shall obtain x 1 therefore, 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... | |
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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. 
