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" Rule. Multiply the Logarithm of the given number by the Index of the proposed power, and the product will be the Logarithm, whose natural number is the power required. "
A Collection of Mathematical Tables,: For the Use of Students in ... - Page 9
by Andrew Mackay - 1804 - 324 pages
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Logarithmologia: Of The Whole Doctrine of Logarithms, Common and Logistical ...

Benjamin Martin - Logarithms - 1740 - 334 pages
...Involution of Numbers, or raifing them to any propofed Power by means of Logarithms -, which is this, . ["Multiply the Logarithm of the given Number by the Index of the Power, viz. 2, 3, 4, 5, . j &c. the Product fhall be the Logarithm of Vtz' ) the Power, viz. the Square, Cube,...
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Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: with ...

Euclid - Euclid's Elements - 1751 - 420 pages
...in the index is cancelled, becaufe two complements are added. terns. 3. To ra>fe Powers ly Logarithm Multiply the Logarithm of the given number by the index of the required power, the product will be the Logarithm of the power fought. Example. Let it be required...
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A Synopsis of Practical Mathematics: Containing Plain Trigonometry ...

Alexander Ewing - 1771 - 342 pages
...the arith. сотр. of 2.6963564 is 7.3036436. 11. To raife a number to any power, by logarithms,' Multiply the logarithm of the given number by the index of the power ; the product is the logarithm of the power required. EXAM. Required the third ^potvetf ori*tft>e of...
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A Synopsis of Practical Mathematics: Containing Plain Trigonometry ...

Alexander Ewing - Logarithms - 1779 - 476 pages
...the arith. сотр. of 2.6963564 is 7.3036436. 11. To raife a number to any power, by logarithms. Multiply the logarithm of the given number by the index of the power ; the produit is the logarithm of the power required. • . s, EXAM. Required the third power or cube...
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Mathematical Tables: Containing Common, Hyperbolic, and Logistic Logarithms ...

Charles Hutton - Logarithms - 1785 - 534 pages
...performed by fubtrafting the logarithm of the one from that of the other, raifing of powers by multiplying the logarithm of the given number by the index of the power, and extraction of roots by dividing the logarithm by the index of the root. It is alfo evident that, in...
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Mathematical Tables: Containing Common, Hyperbolic, and Logistic Logarithms ...

Charles Hutton - Logarithms - 1785 - 560 pages
...performed by fubtrafting the logarithm of the one from that of the other, railing of powers by multiplying the logarithm of the given number by the index of the power, and extraction of roots by dividing the logarithm by the index of the root. It is alfo evident that, in...
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Mathematical Tables: Containing the Logarithms of Numbers; Logarithmic Sines ...

John Brown (Mathematician) - Logarithms - 1789 - 146 pages
...£274 . = 2.4377506 To 9-433296 = L. 9 : 8 : 8. = 0.9746634 4. Involut1on , or the Raifing of Poiuert. Multiply the logarithm of the given number by the index of the power propofed, and the product will be the logarithm of the power fought. Note, In multiplying a logarithm...
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A Synopsis of Practical Mathematics: Containing Plain Trigonometry ...

Alexander Ewing - Logarithms - 1799 - 512 pages
...from unity, and therefore feven cyphers muft be prefixed. 1 2. To extract r00ts by logarithms. Divide the logarithm of the given number by the index of the power i the quotient is the logarithm of the r00t ; that is, divide by 2 for the fquare r00t, by 3 for j...
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A Treatise on Plane and Spherical Trigonometry: With an Introduction ...

Samuel Vince - Trigonometry - 1800 - 204 pages
...of whole numbers only. 41.. Ta raife numbers to any poiyer. RULE. Multiply the logarithm of the root by the index of the power, and the product is the logarithm of the power (6). Ex. What if the 1 6t& power of 1 ,05 ? 0,0211893 log. of 1,05 16 0,3390288 ••• 2,182875...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801 - 446 pages
...2.7592669 Here the i, taken from the — i, makes it become •— to be set down. Y LOGARITHMS, &ULE. v * Multiply the logarithm of the given number by the index of the power, and the number answering to the product will be the power required. NOTE. A negative index, multiplied by an...
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