 | Encyclopaedia Britannica - 1810 - 816 pages
...of the power ; and on the contrary, the logarithm of any root of a number is the quotient found by dividing the logarithm of the number by the index of the root; it follows, that we may find any power or root of a number, by multiplying the logarithm of the number... | |
 | Charles Hutton - 1811 - 406 pages
...raising of powers by multiplying the logarithm by the index of the power j and extracting of roots by dividing the logarithm of the number by the index of the root. For, lagarithms are numbers so contrived, and adapted to other numbers, that the sums and differences... | |
 | Charles Hutton - 1812 - 620 pages
...raising of powers by multiplying the logarithm by the index of the power, and extracting of roots by dividing; the logarithm of the number by the index of the root. For, logarithms are numbers so contrived, and adapted to other numbers, that the sums and differences... | |
 | Charles Hutton - 1822 - 616 pages
...raising of powers by multiplying the logarithm by the index of the power, and extracting of roots by dividing the logarithm of the number by the index of the root. For, logarithms are numbers so contrived, and adapted to other numbers, that the sums and differences... | |
 | 1823 - 856 pages
...of the power ; and, on the contrary, the logarithm of any root of a number is the quotient found by dividing the logarithm of the number by the index of the root ; it follows, that we may find any power or root of •a number, by multiplying' the logarithm of the... | |
 | Charles Davies - 1835 - 378 pages
...will result — logy= log y" = log Vy , that is, the logarithm of any root of a number is obtained by dividing the logarithm of the number by the index of the root. Consequence. To form any power of a number, take the logarithm of this number from the tables, multiply... | |
 | Roswell Park - 1841 - 624 pages
...by means of a table of logarithms. In like manner, the extraction of any root is performed simply by dividing the logarithm of the number, by the index of the root, and the quotient will be the logarithm of the root required. CHAPTER HI. GEOMETRY. GEOMETRY, is that... | |
 | William Scott - 1844 - 568 pages
...— . Jl Whence log. r=log. (V~a)=^^. Wherefore the logarithm of the root of a number is obtained by dividing the logarithm of the number by the index of the root. 212. In the geometrical series -^- 1 : 1+a : (1+a)2 : (1+a)3, &c., a may be assumed so small that the... | |
 | Samuel Griswold Goodrich - 1844 - 370 pages
...raising of powers in multiplying the logarithm by the index of the power ; and extracting of roots in dividing the logarithm of the number by the index of the root ; for logarithms are numbers so contrived and adapted to other numbers, that the sums and differences... | |
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The logarithm of the root of a number is found by dividing the logarithm of the number by the index of the root. For, У2 = %/Ï0^ = 10*. 
