 | Encyclopedias and dictionaries - 1823 - 856 pages
...of the Table. Root The index Number. 1.0045 Logarithm. 0.00195 365 Power 5.1493 .71175 EVOLUTION BY LOGARITHMS. RULE. DIVIDE the logarithm of the number by the index of the root, and the number answering to the quotient is the root sought. When the index of the logarithm to be... | |
 | Nathaniel Bowditch - Nautical astronomy - 1826 - 764 pages
...significant figure of the answer, viz. 1, is p two figures distant from the place of units. EVOLUTION BY LOGARITHMS. RULE. Divide the logarithm of the number by the index of the pi the quotient will be the logarithm of the root sought. But if the |i whose root is to be extracted... | |
 | Nathaniel Bowditch - Nautical astronomy - 1826 - 732 pages
...figure of the answer, viz. 1, is placed two figures dista nl from the place of units. • EVOLUTION BY LOGARITHMS. RULE. Divide the logarithm of the number by the index of the power, the quotient will be the logarithm of the root sought. But if the power whose root is to be... | |
 | William Chauvenet - Binomial theorem - 1843 - 102 pages
...Therefore a^s-^^an , » log. 6 whence log. ^/b=— ~ — . Therefore, to extract any root of a number, we divide the logarithm of the number by the index of the root ; the quotient is the logarithm of the required root. 64. The logarithm of unity is zero in all systems.... | |
 | Nathaniel Bowditch - 1846 - 854 pages
...EXAMPLE IV. Required the cube of 0.25. 0.25 Log. 9-39794 Answer, 0.015(525 Log. 28.19382 32 EVOLUTION BY LOGARITHMS. RULE. Divide the logarithm of the number by the index of the power; the quotient will be the logarithm of the root sought. But if the power whose root is to be... | |
 | John William Nystrom - Engineering - 1854 - 296 pages
...exponent, and the product is the logarithm of tho power of the number. Involution by Logarithms. Ride. Divide the logarithm of the number by the index of the root, and tho quotient is the logarithm of the root of the number. LOGARITHM OF NUMBERS. LOGARITHM OF NUMBERS,... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...Evolution ~by Logarithms.—'According to Art. 399, to extract any root of a number we have the following RULE. Divide the logarithm, of the number by the index of the root required. Ex.1. Find the cube root of 482.4. The logarithm of 482.4 is 2.6834. Dividing by 3, we have... | |
 | Elias Loomis - Algebra - 1873 - 396 pages
...Evolution by Logarithms. — According to Art. 899, to extract any root of a number we have the following RULE. Divide the logarithm of the number by the index of the root required. Ex. 1. Find the cube root of 482.4. The logarithm of 482.4 is 2.6834. Dividing by 3, we have... | |
 | Richard Spelman Culley - Cables, Submarine - 1874 - 558 pages
...Find the cube or 3rd power of 8. Log. 8 = 0-90309 3 2-70927 = log. 512. Evolution by logarithms. — Divide the logarithm of the number by the index of the root required. Example : — Find the cube root or 3rd root of 512. Log. 512 = 2-70927 -:- 3 = 0-90309 =... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...index of the root. Hence, to extract the root of a number by logarithms, we have the following RUI.E. Divide the logarithm of the number by the index of the root r& quired. Ex. 1. Required the cube root of 482.38. The logarithm of 482.38 is 2.683389. Dividing by... | |
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Rule. — Divide the logarithm of the number by the index of the root; the result will be the logarithm of the root. 
