 | 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.... | |
 | Olinthus Gilbert Gregory - 1848 - 572 pages
...inversely, the operation of etolution, or the extraction of roots, is performed by simply dividing the logarithm of the number by the index of the root required, the quotient will be the logarithm of the root. Examples. Square 84, cube 13, and raise 7 to the sixth... | |
 | 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 - 1873 - 396 pages
...is X . r/— log. TO -=log. \/m=— - — . r •" r 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. 400. The following examples will show the application... | |
 | 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 = log. 8. From... | |
 | 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... | |
 | Daniel Kinnear Clark - Engineering - 1878 - 1064 pages
...exponent of the power. The product is the logarithm of the power. To find any root of a given number, divide the logarithm of the number by the index of the root. The quotient is the logarithm of the root. To find the reciprocal of a number, subtract the decimal... | |
 | Benjamin Greenleaf - Algebra - 1879 - 376 pages
...root (Art. 361), we have as the logarithm of the root 1.5563, whose corresponding number is 36. KOLE. Divide the logarithm of the number by the index of the root, and find the number corresponding to the result. EXAMPLES. 2. Find the cube root of 10648. Ans. 22.... | |
 | Clement Mackrow - 1879 - 552 pages
...raised ; the product will be the logarithm of the required power. To Extract the Root of any Number. Divide the logarithm of the number by the index of the root which is to be exti acted ; the quotient will be the logarithm of the required root. No. Logarithm... | |
 | Elias Loomis - Conic sections - 1880 - 452 pages
...that number divided by the index of the root. Hence, to extract the root of a number by logarithms, we have the following RULE. Divide the logarithm of...the number by the index of the root required. Ex. 1. Required the cube root of 482.38. The logarithm of 482.38 is 2.683389. Dividing by 3, we have 0.894463,... | |
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To find any root of a given number, divide the logarithm of the number by the index of the root. The quotient is the logarithm of the root. 
