 | John Brown (Mathematician) - Logarithms - 1789 - 146 pages
...logarithms; the divifion of numbers to the fubtraftion of their logarithms ; the railing of powers, to the multiplying the logarithm of the root by the index of the power ; .\, d the extracting of roots, to the dividing the logarithm of the given A number, by the index... | |
 | William Frend - Algebra - 1796 - 688 pages
...required. Then 10« = the я" 1 root of the number : but the logarithm of io~ = — Divide therefore the logarithm of the given number by the inde'x of the root required, and the quotient gives a logarithm whofe correfponding number is the root required. If the power of... | |
 | Samuel Vince - Trigonometry - 1800 - 204 pages
...and x - y is the logarithm of -. 6. To raife a number to any pdiber, by logar1thms. RULE. Multiply the logarithm of the root by the index " of the power, and the product is the logarithm of the power.. For let <J* = #~; then a rx — ^; and (2) x is the logarithm... | |
 | Andrew Mackay - Astronomy - 1804 - 354 pages
...EVOLUTION by Logarithms, that is, to extract any proposed root of any given number. . RULE. Divide the logarithm of the given number by the index of the root, the quotient is the logarithm of the root. If the given number is a decimal, and the arithmetical comple(B)... | |
 | Thomas Hodson - Arithmetic - 1806 - 488 pages
...multiplied together by the addition of their logarithms: and they may be divided by the fubtraclion of their logarithms. Alfo a number may be raifed to...their theory, are of very ancient origin, and were known to moft of the ancients; but the celebrated John Napier, Baron of Merchifton, in Scotland, was... | |
 | Charles Hutton - Mathematics - 1811 - 574 pages
...logarithms; the division of numbers, to the subtraction of their logarithms ; the raising of powers, to the multiplying the logarithm of the root by the index of the power ; and the extracting of roots, to the dividing the logarithm of the given number bjr the index of the root required... | |
 | John Mason Good - 1819 - 742 pages
...; the division of numbers,« to the subtraction of their Logarithms ; the raising of powers, to the multiplying the Logarithm of the root by the index of the power ; and the extracting of roots, to the dividing the Logarithm of the given number by the index of the root required... | |
 | William Galbraith - 1827 - 566 pages
...number 24 log. 1.380211 Index of the given power 3 Third power 13824 4.140633 508 125 RULE.—Divide the logarithm of the given number by the index of the root, supposed to be expressed by an integer, as, for example, the square root by 2, the cube root by 3,... | |
 | William Galbraith - Astronomy - 1827 - 412 pages
...number 24 log. 1.380211 Index of the given power 3 Third power 13824 4.140633 508 125 RULE.—Divide the logarithm of the given number by the index of the root, supposed to be expressed by an integer, as, for example, the square root by 2, the cube root by 3,... | |
 | John Gummere - Surveying - 1828 - 404 pages
...of .32513. Ans. .0003841/ PROBLEM VI. To extract any root of a number logarithmically. RULE. Divide the logarithm of the given number by the index of the root, that is, by 2 for the square root, by 3 for the cube root, &c. and the quotient will be the logarithm... | |
| |
of their logarithms. Alfo a number may be raifed to any power by multiplying the logarithm of the root by the index of the power: and the extraction of roots may be performed by dividing the logarithm of the given number by the index of the root required... 
