 | John McGregor (teacher of mathematics.) - Mathematics - 1792 - 532 pages
...Ϋ exiraEl tbefquare, cube, biqttadrate, &c. root of a given tiufaber by logarithmic Rule, Divide the logarithm of the given number, by the exponent of the power, and the quotient will give the logarithm of the root. Ex. Required the cube root of 1728. The logarithm... | |
 | Isaac Dalby - Mathematics - 1806 - 526 pages
...difference. Of involving Surds: And extracting their Roots. 124. SURDS are involved by multiplying the index by the exponent of the power to which it is to be raised. (100). Thus, the cube of a? is aj X 3 = a*. And the square of (a*— x*)2 is (a*— x*)^ X 2 = a* —... | |
 | Andrew Mackay - Latitude - 1809 - 414 pages
...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. Required the square of 38 ? Given number 38 - log. Index of the power -... | |
 | John Dougall - 1810 - 554 pages
...175, the sum of interest required in the question. Involution of Roots is performed by multiplying the logarithm of the given number by the exponent of the power to which it is to be raised, when the product will be the logarithm of the power required. For example, raise 8 to the 2nd power,... | |
 | John Dougall - 1810 - 734 pages
...4 ? Log. of 4 = 0,60206 3rd power X 3 Cube 64= 1,80618 Evolution of Roots is performed by dividing the logarithm of the given number by the exponent of the power, when the quotient will be the logarithm of the required root. For example, extract the square root... | |
 | John Bonnycastle - Algebra - 1813 - 456 pages
...and the last product will be the power required. Or, multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be the same as before. Note. When the sign of the root is + , all the powers of it will... | |
 | Charles Butler - Mathematics - 1814 - 540 pages
...rational part of the power, (Art. 265 to 267. Part I.) II. Multiply the index of the surd by the index of the power to which it is to be raised, and the product will be the surd part. III. Annex the rational part of the power to the surd part, and the result will be the power... | |
 | George G. Carey - Arithmetic - 1818 - 602 pages
...131.513 2.1189300 TO PERFORM EVOLUTION, THAT IS, TO EXTRACT ANY PROPOSED ROOT BY LOGARITHMS. RULE. Divide the logarithm of the given number by the exponent of the power, the quotient is the logarithm of the root. If the given number be a decimal, and the arithmetical complement... | |
 | John Bonnycastle - Algebra - 1818 - 326 pages
...cube, biquadrate, &c. of any given quantity. RULE I. > Multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be the power required. Or multiply the quantity into itself as many times less ene as is... | |
 | Warren Colburn - Algebra - 1825 - 400 pages
...and third. The power of a literal quantity, we have just seen, is found by multiplying its exponent by the exponent of the power to which it is to be raised. The second, power of a3 is a3x* = a' ; consequently the second root of a6 is a¥ =; a3. The third power... | |
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Multiply the logarithm of the given number by the exponent of the power to which it is to be raised, and the product will be the logarithm of the required power. 
