| Encyclopedias and dictionaries - 1816 - 746 pages
...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) - 412 pages
...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... | |
| Charles Davies - Surveying - 1830 - 390 pages
...equation az=n, x be taken, then, a'"=nm ; but - is the logarithm of nm ; from which it appears, that **the logarithm of the root of any number, is equal to the logarithm of** that number divided by the index of the root. 8. It is evident, that the results obtained in the last... | |
| Robert Gibson - Surveying - 1833 - 436 pages
...equation ax=n, x- I x 1 be taken, then, am=nm; but- is the logarithm of nm; from 771 which h appears, that **the logarithm of the, root of any number, is equal to the logarithm of** that number divided by the index of the root. 8. It is evident, that the results obtained in the last... | |
| George Darley - 1835 - 142 pages
...any number is equal to the 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...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... | |
| Logarithms - 1836 - 192 pages
...- ix . be taken, then, am = rem; but- is the logarithm of nm ; from m -- • which it appears, that **the logarithm of the root of any number, is equal to the logarithm of** that number divided by the index of the root. 8. It is evident, that the results obtained in the last... | |
| Benjamin Peirce - Algebra - 1837 - 300 pages
...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.... | |
| Benjamin Peirce - Algebra - 1837 - 302 pages
...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.... | |
| John Hymers - Logarithms - 1841 - 244 pages
...m = a', .-. m' = (a')' « a", where r is any number whole or fractional, positive or negative. 10. **The logarithm of the root of any number is equal to...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... | |
| Nathan Scholfield - 1845 - 894 pages
....•. 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 of N "»". 4... | |
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