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" 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. "
The Theory and Practice of Finding the Longitude at Sea Or Land: To which ... - Σελίδα 25
των Andrew Mackay - 1809 - 8 σελίδες
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Logarithmologia: Of The Whole Doctrine of Logarithms, Common and Logistical ...

Benjamin Martin - 1740 - 62 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 - 384 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
...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...

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

Alexander Ewing - 1779 - 266 σελίδες
...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...

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

Charles Hutton - 1785 - 519 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 Common, Hyperbolic, and Logistic Logarithms ...

Charles Hutton - 1785 - 519 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 the Logarithms of Numbers; Logarithmic Sines ...

John Brown (Mathematician) - 1789 - 40 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...

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

Alexander Ewing - 1799 - 328 σελίδες
...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...

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

1801
...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...

Analytical Institutions in Four Books: Originally Written in Italian, Τόμοι 1-2

Maria Gaetana Agnesi - 1801
...powers, will eafily be performed by their exponents. For the index of any power muft be multiplied by the index of the power to which it is to be raifed ; and the index of the given power is to be divided by the index of the root to be extracted....




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