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" ... be the power required. Or, multiply the quantity into itself as many times, less one, as is denoted by the index of the power, and the last product will be tJie answer. 175, When the sign of any simple quantity is +, all the powers of it will be +... "
An Introduction to Algebra, with Notes and Observations: Designed for the ... - Page 43
by John Bonnycastle - 1829 - 312 pages
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Mechanics' and Engineers' Pocket-book of Tables, Rules, and Formulas ...

Charles Haynes Haswell - Engineering - 1903 - 1092 pages
...rate of excavation? 394.626 days. Involution. RULE.— Multiply logarithm of given number by exponent of the power to which it is to be raised, and the product will give the logarithm of the required power. EXAMPLE.— What is cube of 30.71 r Log. 30.71...
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Practical Elementary Algebra

Joseph Victor Collins - Algebra - 1908 - 442 pages
...exponent oft/us quantity in the quotient. 4. In raising to powers multiply the exponent of a factor quantity by the index of the power to which it is to be raised for the exponent of this quantity in the answer. 5. In extracting roots divide the exponent of a factor...
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Practical Algebra, First Year Course, Book 1

Joseph Victor Collins - Algebra - 1910 - 332 pages
...exponent of this quantity in the quotient. 4. In raising to powers multiply the exponent of a factor quantity by the index of the power to which it is to be raised for the exponent of this quantity in the answer. 5. In extracting roots divide the exponent of a factor...
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Plane and Sperical Trigonometry (with Five-place Tables): A Text-book for ...

Robert Édouard Moritz - Trigonometry - 1913 - 562 pages
...power; hence, The logarithm of any power of a number is equal to the logarithm of the number multiplied by the index of the power to which it is to be raised, or If P = Nn, log P = n log N. Thus log 35 = 5 log 3. (¿) ^P = a" ж is the logarithm of the quantity...
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Naval Architect's & Shipbuilder's Pocket-book ...: With a Section on Aeronautics

Clement Mackrow - Naval architecture - 1916 - 766 pages
...separately. INVOLUTION AND EVOLUTION BY LOGARITHMS. RULE. — Multiply the logarithm of the number by the index of the power to which it is to be raised. The antilogaritlmi of the result is the number required. Ex. 1. — Find the cube and cube root 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
...index of that power : hence, to raise or involve a number to a given power, multiply its logarithm by the index of the power to which it is to be raised, and the product will be the logarithm of the power sought. When the given number is a decimal fraction, reject...
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Advanced Algebra

Joseph Victor Collins - Algebra - 1918 - 360 pages
...exponent of this quantity in the quotient. 4. In raising to powers, multiply the exponent of a factor quantity by the index of the power to which it is to be raised for the exponent of this quantity in the answer. 5. In extracting roots, divide the exponent of a factor...
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Chamber's Seven-Figure Mathematical Tables

364 pages
...To PERFORM INVOLUTION nv LOGARITHMS. Multiply the logarithm of the given munli.-r by tlie exponent of the power to which it is to be raised, and the product will be the logarithm of the required pOWlT. EXAMPLE. Find the cube of 30-7146. L30-714G =...
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