 | Thomas Curtis (of Grove house sch, Islington) - 412 pages
...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...of the number divided by the exponent of the root. 42. There may be various systems of logarithms, according to the different values which may be given... | |
 | George Darley - 1835 - 142 pages
...logarithm of the number multiplied by the index of the power, 8. ART. C. The logarithm of the root of any number is equal to the logarithm of the number divided by the index of the root, 9. THE APPLICATION OF ALGEBRA TO GEOMETRY. will DEF. The area of a figure is the... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...a x •=. y, then a w — y n ; and therefore nx = ly n , or ly n = nly (504.) ' The logarithm of a root of a number is equal to the logarithm of the number divided by the exponent of the root.' £ i x A Let a* = y, then a n = y n , hence n = ly", or (505.) ' The logarithm of the base of any system... | |
 | William Chauvenet - Binomial theorem - 1843 - 102 pages
...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 n th root of the equation we divide... | |
 | Nathan Scholfield - Geometry - 1845 - 506 pages
....•. by def. (2). — is the logarithm of Nn that is to say, x _L 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, whence, — is the logarithm of N ^~.... | |
 | Nathan Scholfield - 1845 - 894 pages
...by def. (2). — is the logarithm of N « that is to say, x _L 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, whence, — is the logarithm of N "»".... | |
 | Nathan Scholfield - Conic sections - 1845 - 244 pages
...by def. (2). — is the logarithm of N * that is to say, x _L 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, whence, — is the logarithm of N "»".... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...by def. (2), — is the logarithm of N » that is to say, x JL 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, whence, — is the logarithm of N "•".... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...we shall obtain 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... | |
 | Charles William Hackley - Algebra - 1846 - 542 pages
....-. by definition, - is the logarithm of N L ; 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 last two cases, we shall find mx — whence — is the logarithm of... | |
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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. 
