| 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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