 | 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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The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 
