| John Macgregor (teacher of mathematics.) - Mathematics - 1792 - 431 pages
...PROPROBLEM VI. 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... | |
| George G. Carey - Business & Economics - 1818 - 574 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... | |
| Benjamin Peirce - Algebra - 1837 - 276 pages
...Evolution by Logarithms. 25. Problem. To fnd any root of a given number by means of logarithms. Solution. **Divide the logarithm of the given number by the exponent of the** required root, and the number, of which this quotient is the logarithm, is, by art. 10, the required... | |
| Benjamin Peirce - Algebra - 1837 - 276 pages
...Evolution by Logarithms. 25. Problem. To find any root of a given number by means of logarithms. Solution. **Divide the logarithm of the given number by the exponent of the** required root, and the number, of which this quotient is the logarithm, is, by art. 10, the required... | |
| Benjamin Peirce - Algebra - 1855 - 288 pages
...Ans. 0.00000987325. 31. Problem. To find any root of a given number by means of logarithms. Solution. **Divide the logarithm of the given number by the exponent of the** required root, and the number, of which this quotient is the logarithm, ti, by art. 12, the required... | |
| James Pryde - 1878
...7049-38. 2. Find the 365th power of 1-0045. Ans. 5-149062. ( 17 ) To PERFORM EVOLUTION RY LOGARITHM8. **Divide the logarithm of the given number by the exponent...quotient will be the logarithm of the required root.** EXAMPLE8. 1. Find the cube root of 12345. L 12345 = 4-0914911 Its quotient by 3 = 1-3638304 = L 23-11163... | |
| George William Usill - Surveying - 1889 - 272 pages
...Log. Product = 6-2763625 = Log. 1,889,568 /. 185 = 1,889,568. Evolution by logarithms. — Rule. — **Divide the logarithm of the given number by the exponent of the root,** and the quotient will be the logarithm of the required root. * 10-0000000 — 2-5622929 = 7-4377071.... | |
| Arnold Lupton - History - 1902 - 414 pages
...To extract any root by logarithms. Divide the logarithm of the given number by the index of the root **to be extracted, and the quotient will be the logarithm of the required root.** (1) Find the cube root of 12345, written thus : VU345. Log. 12345 = 4-0914911. 3)40914911 1-3638304,... | |
| Alfred Hubert Haines, A. F. Hood Daniel - Building - 1915 - 339 pages
...3-8481460 = 70493 48 43 =7 50 50 = 8 Answer = 7049-378 To perform evolution (ie extract the root).—Divide **the logarithm of the given number by the exponent of the root,** and the result will be the log of the answer. Example, (a) Find the cube root of 54321. Log of 54321... | |
| James Pryde
...TO PERFORM KVOLDTIOS BY LOGARmlMS. Divide the logarithm of the given number by the exponent of th. **root which is to be extracted, and the quotient will...the required root EXAMPLES. 1 Find the cube root of** 1234,">. L 12345 = 4-0914911 Its quotient b, 8 = 1*638804 = L 23-11162 Hence ^ 12345 = 23-11162 2.... | |
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