 | Thomas Curtis (of Grove house sch, Islington) - 412 pàgines
...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 to the different values... | |
 | George Darley - 1835 - 142 pàgines
...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 .portion of space... | |
 | Benjamin Peirce - 1837 - 300 pàgines
...in the above equation, it becomes n log. p = n log. V>, or log. p ~~ 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. m', gives log. m' = log.... | |
 | Benjamin Peirce - 1837 - 314 pàgines
...above equation, it becomes log. p = n log. or log. Vp = -^ */ '°S- P 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. mm' = log. m + log. m', gives log. m' = log.... | |
 | Benjamin Peirce - 1837 - 302 pàgines
...above equation, it becomes log. p = n log. or log. V>= -~n , " log. 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. m', gives log. m' = log.... | |
 | Benjamin Peirce - 1837 - 300 pàgines
...= TO", m in the above equation, it becomes log. p — n log. or log. 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.' mm' = log. m -\- log. m', gives log. m' = log.... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 500 pàgines
...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... | |
 | Benjamin Peirce - 1843 - 308 pàgines
...above equation, it becomes n log. p = n log. v/ p, log. ^ p = } VLP; 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. m + log. m', gives log. m! = log.... | |
 | Nathan Scholfield - 1845 - 542 pàgines
...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 "•". n It is of the... | |
 | Nathan Scholfield - 1845 - 506 pàgines
....•. 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 ^~. It is of the highest... | |
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the logarithm of the m th root of a number is equal to the logarithm of the number divided by the index of the root LOGARITHMS. 
