| 1816
...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, according to the different... | |
| Thomas Curtis (of Grove house sch, Islington)
...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 to the different values... | |
| George Darley - 1835
...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 of space contained... | |
| Benjamin Peirce - 1837 - 288 sider
...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. m', gives log. m' = log.... | |
| Benjamin Peirce - 1837 - 276 sider
...= */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. m', gives log. m' = log.... | |
| Benjamin Peirce - 1837 - 288 sider
...*»", • 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 - 151 sider
...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. Hence, if we have... | |
| William Chauvenet - 1843 - 92 sider
...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 - 232 sider
....: 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 logarithm of N "«".... | |
| Nathan Scholfield - 1845
...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 "•". n It is of the... | |
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