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" Divide the logarithm of the given number by the index of the root ; and the quotient will be the logarithm of the required root (Art. "
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
...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,...

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

Alexander Ewing - 1771
...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
...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, 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...

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, in...

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

John Brown (Mathematician) - 1789 - 40 σελίδες
...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
...place 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
...1-0045 0-0019499 The Index 365 ' 9749S 116994 58497 Power 5-148888 *7II7I35 Eroiwriox LOGARITHMS. ROLE. Divide tHe logarithm of the given number by the index of the power,' and the" number answering to the quotient will be the root required. NOTE. When the index of the logarithm is...

The Accomplished Tutor: Or, Complete System of Liberal Education ...

Thomas Hodson - 1802
...fimple, extraft the root of the coefficient for the new coefficient, and divide the index of the letters by the index of the power, and the quotient will be the root required. Thus, the fquare root of 2$5* will be $\— £*, and the cube rcot of 17*' =3*] =3*....

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

Andrew Mackay - 1804 - 260 σελίδες
...4.81C4S PROBLEM VII. To perform EVOLUTION by Logarithms, that is, to extract any proposed root of any given number. RULE. Divide the logarithm of the given number by the index of the root, the quotient is the logarithm of the root. If the given number is a decimal, and thç arithmetical...




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