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" Multiply the logarithm of the given number by the exponent of the power to which the number is to be raised ; and the product will be the logarithm of the required power (Art. "
Tables of six-figure logarithms. Stereotyped ed - Página xvi
por Richard Farley - 1840 - 80 páginas
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A Complete Treatise on Practical Mathematics: Including the Nature and Use ...

John McGregor (teacher of mathematics.) - 1792 - 431 páginas
...Ϋ exiraEl tbefquare, cube, biqttadrate, &c. root of a given tiufaber by logarithmic Rule, Divide the logarithm of the given number, by the exponent of the power, and the quotient will give the logarithm of the root. Ex. Required the cube root of 1728. The logarithm of...
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The Modern Preceptor Or a General Course of Education: Containing ..., Volumen1

John Dougall - 1810 - 580 páginas
...175, the sum of interest required in the question. Involution of Roots is performed by multiplying the logarithm of the given number by the exponent of the power to which it is to be raised, when the product will be the logarithm of the power required. For example,...
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A Complete System of Theoretical and Mercantile Arithmetic: Comprehending a ...

George G. Carey - 1818 - 574 páginas
...131.513 2.1189300 TO PERFORM EVOLUTION, THAT IS, TO EXTRACT ANY PROPOSED ROOT BY LOGARITHMS. RULE. Divide the logarithm of the given number by the exponent of the power, the quotient is the logarithm of the root. If the given number be a decimal, and the arithmetical complement...
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Table of Logarithms of the Natural Numbers, from 1 to 108000

Charles Babbage - 1827 - 201 páginas
...1029137 lojf. 8.291 .9186069 •1843068 log. of 15286; '1842939 4 129 quotient 1.52864 114 PROBLEM VI1. To find any power of a given number. Multiply the...of the given number by the exponent of the power, the product is the logarithm of that power. Ex. I. — Required the square o/3'1416 ? its logarithm...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - 1837 - 288 páginas
...Ans. 0,00000611257. 24. Problem. To fnd any power of a given number by means of logarithms. Solution. Multiply the logarithm of the given number by the exponent of the required power, and the number, of which this product is the logarithm, is, by art. 9, the required...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - 1837 - 288 páginas
...Ana. 0,00000611257. 24. Problem. To find any power of a given number by means of logarithms. Solution. Multiply the logarithm of the given number by the exponent of the required power, and the number, of which this product is the logarithm, is, by art. 9, the required...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - 1838 - 307 páginas
...order to produce nm ; hence the following RULE. To raise a number to any power, by means of logarithms, multiply the logarithm of the given number by the exponent of the power, and the product will be the logarithm of the power. EXAMPLE I. Required the 4th power of .09163 log. of .09163 is 2.962038...
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - 1851 - 372 páginas
...to produce n"; hence the following RULE. — To raise a number to any power, by means of logarithms, multiply the logarithm of the given number by the exponent of the power, and the product will be the logarithm of the power. EXAMPLES. 1. Required the 4th power of -09163 log. of '09163 is...
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An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Osgood Peirce - 1855 - 288 páginas
...Ans. 0.00000611257. 29. Problem. To find any power of a given number by means of logarithms. Solution. Multiply the logarithm of the given number by the exponent of the required power, and 84 Evolution by Logarithms. the number, of which this product is the logarithm,...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 páginas
...Find the 4th term of the proportion, 720 : 196 :: 155.5. Ans. 42.33. • INVOLUTION BY LOGARITHMS. 34. Multiply the logarithm of the given number by the exponent of the power to which the number is to be raised ; and the product will be tfte logarithm of the required power...
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