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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 Synopsis of Practical Mathematics: Containing Plain Trigonometry ... - Σελίδα 259
των Alexander Ewing - 1779 - 266 σελίδες
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Logarithmologia: Of The Whole Doctrine of Logarithms, Common and Logistical ...

Benjamin Martin - 1740 - 334 σελίδες
...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,...

Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: with ...

Euclid - 1751 - 420 σελίδες
...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...

A Synopsis of Practical Mathematics: Containing Plain Trigonometry ...

Alexander Ewing - 1771 - 342 σελίδες
...wants of 9, and what the laft fignificant figure wants of io ; fo the arith. сотр. of 2.6963564 is 7.3036436. 11. To raife a number to any power,...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 Bii...

Mathematical Tables: Containing Common, Hyperbolic, and Logistic Logarithms ...

Charles Hutton - 1785 - 560 σελίδες
...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,...

Mathematical Tables: Containing Common, Hyperbolic, and Logistic Logarithms ...

Charles Hutton - 1785 - 534 σελίδες
...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,...

Mathematical Tables: Containing the Logarithms of Numbers; Logarithmic Sines ...

John Brown (Mathematician) - 1789 - 146 σελίδες
...£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...

Mathematics: Compiled from the Best Authors and Intended to be the ..., Τόμος 1

1801 - 446 σελίδες
...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...

A Collection of Mathematical Tables,: For the Use of Students in ...

Andrew Mackay - 1804 - 354 σελίδες
...perform IffrOL UTION by Logarithms, that is, toßnd the square, cube, ofc. of any given number. RULE. Multiply the logarithm of the given number by the index of the power, and the product is the logarithm of the power sought. EXAMPLES. I. What is the square of 58 ? Given...

The shipwright's vade-mecum [by D. Steel].

David Steel - 1805 - 392 σελίδες
...1 .4139 x 5 5.20695 20695 is the logarithm of 16105 1, the Answer. EVOLUTION BY LOGARITHMS. DIVIDE the logarithm of the given number by the index of the power » the quotient is the logarithm of the root. EXAMPLE. What is the cube root of 156252 ? Logarithm of 15625=4.19382....

The Theory and Practice of Finding the Longitude at Sea Or Land: To ..., Τόμος 2

Andrew Mackay - 1809 - 414 σελίδες
...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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