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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. "
Mathematical Tables: Containing the Logarithms of Numbers; Logarithmic Sines ... - Page 8
de John Brown (Mathematician) - 1789 - 40 pages
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The Theory and Practice of Finding the Longitude at Sea Or Land ..., Volume 2

Andrew Mackay - 1809 - 414 pages
...perform INVOLUTION by Logarithms) that h, toßnd the Square, Cube, c^c. nf 'any given Number, RULK. Multiply the logarithm of the given number by the index of the power to which it is to be raised, and the product will be the logarithm of the power sought. EXAMPLES. I....
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Encyclopædia Britannica: or, A dictionary of arts and sciences ..., Volume 12

Encyclopaedia Britannica - 1810 - 816 pages
...logarithms of thefe numbers, and fubtraít 2O from the fum of the indices. INVOLUTION BT LOGARITHMS, RULE. MULTIPLY the logarithm of the given number by the index of the power, and the number anfwering to the produit will be the power required. r.^In multiplying a logarithm wilh...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1811 - 580 pages
...Answer=2.4 1 1 -0.38-3 107 INVOLUTION. To find any proposed p^rer of a given number by Logarithms. Rule. Multiply the Logarithm of the given number by the Index of the proposed power, and the I OF LOGARITHMS. 33' product will be the Logarithm, whose natural number is...
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Tracts on Mathematical and Philosophical Subjects: Comprising Among Numerous ...

Charles Hutton - 1812 - 514 pages
...performed by subtracting the logarithm of the one from that of the other, raising 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 tlie root. It is also evident that,...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - 398 pages
...involve a number to any power; that is to find the square, cube, &fc. of a number logarithmically, RULE. Multiply the logarithm of the given number by the index of the power, viz. by 2 for the square, by 3 for the cube, &c. and the product will be the logarithm of the power....
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1814 - 558 pages
...Answer =2.411 =0.382107 INVOLUTION. To find any proposed pomer of a given number by Logarithms. 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....
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A System of Land Surveying and Levelling: Wherein is Demonstrated ..., Volume 1

Peter Fleming - 1815 - 250 pages
...10 ; but when the index is negative, add it to 9, and subtract the rest as before. IV. INVOLUTION. Multiply the Logarithm of the given number by the index of the power to be raised, and the product is the Logarithm of the power required. If the index of the Logarithm...
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A New, Copious and Complete System of Arithmetic: For the Use of Schools and ...

James Maginness - 1821 - 378 pages
...6.944=0.841610 " .. ' '-' ' . : «! ,, . IK VOLUTION. To find any power of a given number by logarithms, HULK. 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....
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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., Volume 12

1823 - 856 pages
...logarithms of these numbers, and subtract 20 i'rom the sum of the Indices. INVOLUTION BY LOGARITHMS. EULE. 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. — In multiplying a logarithm...
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Mathematical and Astronomical Tables: For the Use of Students in Mathematics ...

William Galbraith - 1834 - 454 pages
...from the commencement of the chase. PROBLEM VI. — To perform Involution by Logarithms. RULE .— Multiply the logarithm of the given number by the index of the power, and the product will be the logarithm of the power required. Ex. 1. — What is the square of 64 ?...
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