 | 1816 - 746 σελίδες
...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...of the number divided by the exponent of the root. (42.) There may- be various fyftems of logarithms, according to the different values which may be given... | |
 | Thomas Curtis (of Grove house sch, Islington) - 412 σελίδες
...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 σελίδες
...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 - 302 σελίδες
...we 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...root. 11. Corollary. The equation log. m m' = log. m -f log. m', gives log. m' = log. mm' — log. m ; that is, the logarithm of one factor of a product... | |
 | John Hymers - 1841 - 244 σελίδες
...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 - 308 σελίδες
...If we 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 - 102 σελίδες
...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 - 894 σελίδες
....•. 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, •fjj T~ nk whence, — is the logarithm... | |
 | Nathan Scholfield - 1845 - 506 σελίδες
....: 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... | |
 | Nathan Scholfield - 1845 - 542 σελίδες
...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 "•".... | |
| |
The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 
