 | Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...ax = m to any power p, we have a?* = mP, in which xp is the logarithm of m raised to the power p. 6. The logarithm of the root of any number is equal to...logarithm of that number divided by the index of the root. For, extracting the rth root of both members of the equation a1 — m we have in which * is the logarithm... | |
 | C R. Lupton - 1879 - 194 pages
...that number multiplied by the index of that power ; and the logarithm of the root of any number is the logarithm of that number divided by the index of the root. Let ax =p then a"x=p" .'. nx is the log of p" to the base a. Again let ax =p X 1 then a" =j'" /. ?... | |
 | Henry Law - 1884 - 568 pages
...nthpowerof m, is equal to n times the logarithm of m. PROPOSITION P THEOREM. The logarithm of any root of a number, is equal to the logarithm of that number, divided by the exponent of the root. Let X = logj, m, then m = 6X ; let the square root of m = x, aud the logarithm... | |
 | Elias Loomis - Trigonometry - 1886 - 432 pages
...EVOLUTION BY LOGARITHMS. 15. It is proved in Algebra, Art. 399, that the logarithm of any root of a number is equal to the logarithm of that number divided by the index of the root. Hence, to extract the root of a number by logarithms, we have the following RULE. Divide the logarithm... | |
 | William Miller Barr - Engineering - 1918 - 650 pages
...2Г.883888 3 Cube, .0004484, log 4.651664 Evolution by Logarithm. — The logarithm of any root of a number is equal to the logarithm of that number divided by the index of the root. To extract the root of a number by logarithm we have the following rule: Divide the logarithm of the... | |
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The logarithm of any root of a number, is equal to the logarithm of that number divided by the index of the root. 
