| John McGregor (teacher of mathematics.) - 1792 - 532 páginas
...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 of... | |
| John Dougall - 1810 - 554 páginas
...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,... | |
| George G. Carey - 1818 - 602 páginas
...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... | |
| Charles Babbage - 1827 - 244 páginas
...1029137 lojf. 8.291 .9186069 •1843068 log. of 15286; '1842939 4 129 quotient 1.52864 114 PROBLEM VI1. To find any power of a given number. Multiply the...of the given number by the exponent of the power, the product is the logarithm of that power. Ex. I. — Required the square o/3'1416 ? its logarithm... | |
| Benjamin Peirce - 1837 - 300 páginas
...Ans. 0,00000611257. 24. Problem. To fnd any power of a given number by means of logarithms. Solution. Multiply the logarithm of the given number by the exponent of the required power, and the number, of which this product is the logarithm, is, by art. 9, the required... | |
| Benjamin Peirce - 1837 - 302 páginas
...Ana. 0,00000611257. 24. Problem. To find any power of a given number by means of logarithms. Solution. Multiply the logarithm of the given number by the exponent of the required power, and the number, of which this product is the logarithm, is, by art. 9, the required... | |
| Charles William Hackley - 1838 - 338 páginas
...order to produce nm ; hence the following RULE. To raise a number to any power, by means of logarithms, multiply the logarithm of the given number by the exponent of the power, and the product will be the logarithm of the power. EXAMPLE I. Required the 4th power of .09163 log. of .09163 is 2.962038... | |
| Charles William Hackley - 1851 - 524 páginas
...to produce n"; hence the following RULE. — To raise a number to any power, by means of logarithms, multiply the logarithm of the given number by the exponent of the power, and the product will be the logarithm of the power. EXAMPLES. 1. Required the 4th power of -09163 log. of '09163 is... | |
| Benjamin Peirce - 1855 - 308 páginas
...Ans. 0.00000611257. 29. Problem. To find any power of a given number by means of logarithms. Solution. Multiply the logarithm of the given number by the exponent of the required power, and 84 Evolution by Logarithms. the number, of which this product is the logarithm,... | |
| Benjamin Greenleaf - 1862 - 518 páginas
...Find the 4th term of the proportion, 720 : 196 :: 155.5. Ans. 42.33. • INVOLUTION BY LOGARITHMS. 34. Multiply the logarithm of the given number by the exponent of the power to which the number is to be raised ; and the product will be tfte logarithm of the required power... | |
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