 | 1816 - 746 pages
...a 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 pages
...a 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... | |
 | Benjamin Peirce - 1837 - 300 pages
...= */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 - 302 pages
...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 pages
...*»", • 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.... | |
 | Benjamin Peirce - 1855 - 308 pages
...substitute p — ran, in the above equation, it becomes log. p = n log. v/ p, log. v P = k*Z; 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. 13. Corollary. • The equation log. m m' = log. TO... | |
 | Charles Davies - 1857 - 408 pages
...shall have, , a" -(N')~n- *JW - - (6). But from the definition, yj — — log ( n-/N') ; 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. 234i From the principles demonstrated in the four preceding... | |
 | Elias Loomis - 1859 - 372 pages
...characteristic is positive or negative. Ex. 4. Required the cube of .07654. The logarithm of .07654 is 2.883888 3 Cube, .0004484, log. 4.651664. Ex. 5. Required the...is proved in Algebra, Art. 341, that the logarithm jf any root of a number is equal to the logarithm of that numjer divided by the index of the root.... | |
 | Charles Davies - 1860 - 412 pages
...equation {1), we shall have, a" =(N')*= \fW - - (6). But from the definition, — = log ("yF) ; 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. 234i From the principles demonstrated in the four preceding... | |
 | Henry Lee Scott - 1861 - 674 pages
...a number is equal to the product of the logarithm of the number by the exponent of the power ; and the logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. These properties of logarithms greatly facilitate arithmetical... | |
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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. 
