| 1816
...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)
...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 - 276 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 - 288 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 - 288 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 Osgood Peirce - 1855 - 288 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, M. Bourdon (Louis Pierre Marie) - 1857 - 400 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, LL.D. - 1859
...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 - 400 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... | |
| H. L. Scott - 1861
...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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