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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.
Elements of Surveying: With the Necessary Tables - Page 10
by Charles Davies - 1830 - 306 pages

## Elementary Algegra

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...

## Algebra

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'" /. ?...

## Mathematical tables for trigonometrical, astronomical, and nautical ...

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...