| Claude Irwin Palmer, Charles Wilbur Leigh - Plane trigonometry - 1914 - 308 pages
...number multiplied by the exponent of the power. By (c) . (7) The logarithm of a root of a number equals **the logarithm of the number divided by the index of the root.** By (d). 1 The truth of the statements in Art. 1 follows from these theorems. That is, the process of... | |
| William David Pence, Milo Smith Ketchum - Surveying - 1915 - 418 pages
...to the logarithm of the number multiplied by the index of the power. 4. The logarithm of a root of a **number is equal to the logarithm of the number divided by the index of the root.** 5. The logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the... | |
| William David Pence - 1915 - 416 pages
...to the logarithm of the number multiplied by the index of the power. 4. The logarithm of a root of a **number is equal to the logarithm of the number divided by the index of the root.** 5. The logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1916 - 280 pages
...logarithm of the dividend minus the logarithm of the divisor. (b) The logarithm of a root of a number is **the logarithm of the number divided by the index of the root.** That is, log? =loga-log6 and log -С/а = ^£^on NOTE. — A formula for finding cube roots of numbers... | |
| Claude Irwin Palmer, Charles Wilbur Leigh - Logarithms - 1916 - 348 pages
...number multiplied by the exponent of the power. By (c). (7) The logarithm of a root of a number equals **the logarithm of the number divided by the index of the root.** By (d). The truth of the statements in Art. 1 follows from these theorems. That is, the process of... | |
| Ernest Brown Skinner - Algebra - 1917 - 288 pages
...(8) logaVv=^-logay. 71' Translated into words, equation (8) says that the logarithm of the root of a **number is equal to the logarithm of the number divided by the index of the root.** 36. Systems of Logarithms. The logarithms of all real positive numbers with a given number as a base... | |
| John William Norie, J. W. Saul - Nautical astronomy - 1917 - 642 pages
...means the square root of 10, 10* means the cube root of 10, and so on. The logarithm of the root of any **number is equal to the logarithm of the number divided by the index of the root.** Formula. — Log. VM = Log. M -4- m where M = any number, and V the required root. EXAMPLES Required... | |
| Elmer Adelbert Lyman, Albertus Darnell - Algebra - 1917 - 520 pages
...logta" = n logt a. (Why ?) 4. Law of Roots. The logarithm of the root of a number equals the quotient of **the logarithm of the number divided by the index of the root.** In symbols, logfc Va = - logfcaPBOOF. Let logj. a = x. .: Tf = a. (Why?) .-. fc"=л/a. (Why?) .-. log,... | |
| William Charles Brenke - Algebra - 1917 - 212 pages
...of the power times the logarithm of the number. IV. • The logarithm of any root of a number equals **the logarithm of the number divided by the index of the root.** Proofs. Let x be the logarithm of m, y that of n, the base being a. Then ( loga m = x, < or żloga... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1917 - 674 pages
...logarithm of the dividend minus the logarithm of the divisor. (b) The logarithm of a root of a number is **the logarithm of the number divided by the index of the root.** That is, log? = log a - log b and log Ve = on NOTE. — A formula for finding cube roots of numbers... | |
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