 | Charles Hutton - 1812 - 620 էջ
...and 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 էջ
...and 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 էջ
...the remainder, we shall find the quotient. As the logarithm of any power of a number is the product of the logarithm of the number, and the index of the...•a number, by multiplying' the logarithm of the nuniber by the index of the power, or dividing it by the index of the root, and taking that number... | |
 | Charles Davies - 1835 - 378 էջ
...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 էջ
...found 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 էջ
...- — . 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 էջ
...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... | |
 | Charles Davies - 1845 - 382 էջ
...r" — log. N = log. Nn = log. V-2V; that is, n The logarithm of any root of a number is obtained, by dividing the logarithm of the number by the index of the root. Consequences. To form any power of a number, take the logarithm of this number from the tables, multiply... | |
 | Roswell Park - 1847 - 632 էջ
...found 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 III. GEOMETRY. GEOMETRY, is that... | |
 | Olinthus Gilbert Gregory - 1848 - 572 էջ
...power; and, inversely, the operation of etolution, or the extraction of roots, is performed by simply dividing the logarithm of the number by the index of the root required, the quotient will be the logarithm of the root. Examples. Square 84, cube 13, and raise 7... | |
| |
The logarithm of the root of a number is found by dividing the logarithm of the number by the index of the root. 
