 | Encyclopaedia Britannica - 1810 - 816 pages
...index 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 - Mathematics - 1812 - 620 pages
...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 - Mathematics - 1822 - 616 pages
...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... | |
 | Encyclopedias and dictionaries - 1823 - 856 pages
...index 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... | |
 | Dionysius Lardner - Plane trigonometry - 1828 - 434 pages
...a number is obtained by multiplying the logarithm of the number by the exponent of the power ; and the logarithm of any root of a number is obtained by dividing the logarithm of the number by the exponent of the root" Hence, if a power or root of any number enter a formula which is to be computed,... | |
 | Charles Davies - Algebra - 1835 - 378 pages
...244. Suppose, in the first equation, m= 1 ; there will result — logy= log y" = log Vy , that is, the logarithm of any root of a number is obtained...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... | |
 | Bourdon (M., Louis Pierre Marie) - Algebra - 1839 - 368 pages
...261. Suppose, in the first equation, m—I ; there will result — log y= log y"= log "V y , that is, the logarithm of any root of a number is obtained...dividing the logarithm of the number by the index "f the root. Consequence. To form any power of a number, take the logarithm of this number from the... | |
 | Roswell Park - Best books - 1841 - 624 pages
...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 branch... | |
 | Charles Davies - Algebra - 1842 - 368 pages
...enunciation. 261. Suppose, in the first equation, m=l; there will result — log y= log y" = log V1T, that is, the logarithm of any root of a number is obtained...dividing the logarithm of the number by the index tf the root. Consequence. To form any power of a number, take the logarithm of this number from the... | |
 | William Scott - Algebra - 1844 - 568 pages
...a Dividing by n, log. r=— - — . 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... | |
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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. 
