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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. "
Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ... - Page 73
by Nathan Scholfield - 1845
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Plane Trigonometry with Tables

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...
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Surveying Manual: A Manual of Field and Office Methods for the Use of ...

William David Pence, Milo Smith Ketchum - Surveying - 1915 - 388 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...
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Surveying Manual ; a Surveying

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...
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Intermediate Algebra

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...
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Plane and Spherical Trigonometry

Claude Irwin Palmer, Charles Wilbur Leigh - Logarithms - 1916 - 188 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...
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A Complete Epitome of Practical Navigation, and Nautical Astronomy ..., Volume 1

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...
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College Algebra

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...
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Elementary Algebra

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,...
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Advanced Algebra

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...
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Complete Algebra

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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