 | Thomas Curtis (of Grove house sch, Islington) - عدد الصفحات: 412
...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...the exponent of the root. 42. There may be various systems of logarithms, according to the different values which may be given to the number r, which... | |
 | George Darley - 1835 - عدد الصفحات: 142
...logarithm of the number multiplied by the index of the power, 8. AHT. 6. 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. DEF. The area of a figure is the .portion... | |
 | Benjamin Peirce - 1837 - عدد الصفحات: 302
...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...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. mm' — log. m ; that... | |
 | Benjamin Peirce - 1837 - عدد الصفحات: 300
...= */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...of the number divided by the exponent of the root. 11. Corollary. The equation log. m m' = log. m + log. m', gives log. m' = log. mm' — log. m ; that... | |
 | Benjamin Peirce - 1837 - عدد الصفحات: 300
...*»", • 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. m,, gives log. m, = log.... | |
 | John Hymers - 1841 - عدد الصفحات: 244
...where r is any number whole or fractional, positive or negative. 10. The logarithm of the root of any number is equal to the logarithm of the number divided by the index of the root. Since т ч cf, .: <t/m •» v/0* = ar, _ л i * * De V " / — V Oft r* TT 11.... | |
 | Benjamin Peirce - 1843 - عدد الصفحات: 308
...substitute m — -/p, in the above equation, it becomes log. p — n log. log. S p = ISLJL; n that is, the logarithm of any root of a number is equal to the logarithm of the number divided by the ezponent of the root. 13. Corollary. The equation log. m mf = log. m 4- log. m', gives log. m' = log.... | |
 | William Chauvenet - 1843 - عدد الصفحات: 102
...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-**—... | |
 | Nathan Scholfield - 1845 - عدد الصفحات: 542
...JL .: by def. (2), — is the logarithm of N » 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 two last cases, we shall find, whence, — is the logarithm of N "•".... | |
 | Nathan Scholfield - 1845 - عدد الصفحات: 506
....: by def. (2), — is the logarithm of N •> 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 two last cases, we shall find, m in v N~r = a~ whence, — is the... | |
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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. 
