 | Thomas Gent - 1734 - 288 pages
...xd* =_jfj Or ЯГ » * s= a by putting for у its Equal 2** 5 now by the Rature Nature of Logarithms, The Logarithm of the Power of any Number is equal to the Log. of the Root-multiply 'd by the Index of the Power : Suppofe 6 -f-jy = * ; and the above Equation... | |
 | 1734 - 234 pages
...Equal аж* j now by the Nature ANSWERS tö the -laß Arithmetical Que/lions. 25 Nature of Logarithms, The Logarithm of the Power of any Number is equal to the Log. of the Root multiply'd by the Index of the Power : Suppofe 6 -\-y = * ¿ and the above Equation... | |
 | Francis Holliday - Equations - 1745 - 346 pages
...Terms = # ; ix 2 = y, or ixx = z , by putting for y its equal zxx. Now by the Nature of Logarithms, the Logarithm of the Power of any Number is equal to the Logarithm of the Root multiplied by the Index of the Power. Suppofe 6 •*j-^ = x ; and the above' Equation becomes... | |
 | Charles Davies - Surveying - 1830 - 390 pages
...be raised to the mth power, a™z=nm. Here, mx is the logarithm of nm ; from which it appears, that the logarithm of the power of any number, is equal to the logarithm of that number, multiplied by the index of that power. 7. If the mth root of both members of the equation... | |
 | Robert Gibson - Surveying - 1833 - 436 pages
...raised to the »ith power, amx = nm. Here, mx is the logarithm of nm ; from which it appears, that the logarithm of the power of any number, is equal to the logarithm of that number, multiplied by the index of that power. 7. If the with root of both members of the equation... | |
 | George Darley - 1835 - 142 pages
...logarithm of the quotient of any two numbers is equal to the difference of their logarithms, 7ART. 5. The logarithm of the power of any number is equal to the logarithm of the number multiplied by the index of the power, 8. AHT. 6. The logarithm of the root of any number is equal to the logarithm of... | |
 | Logarithms - 1836 - 192 pages
...raised to the »nth power, a™z = nm. Here, mx is the logarithm of nm ; from which it appears, that the logarithm of the power of any number, is equal to the logarithm of that number, multiplied by the index of that power. 7. If the mth root of both members'of the equation... | |
 | Benjamin Peirce - Algebra - 1837 - 300 pages
...-|- &c. or II. Logarithm of Root, Quotient, and Reciprocal. that is, the logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 10. Corollary. If we substitute p = m», or n . m = */p, in the above equation, it becomes... | |
 | Benjamin Peirce - Algebra - 1837 - 302 pages
...= n log. TO ; Logarithm of Root, Quotient, and Reciprocal. that is, the logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 10. Corollary. If we substitute m = Vp, in the above equation, it becomes log. p = n... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...= -; and hence x — ж'= l ~, У У1 У' or l?L = ly — ty (503.) ' The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power.1 If ax = y, then а«.т = yn ; and therefore nx = lyn, or ly" = nly (504.) ' The logarithm... | |
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The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 
