 | Encyclopedias and dictionaries - 1823 - 856 pages
...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... | |
 | 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,... | |
 | James B. Dodd - Algebra - 1859 - 368 pages
...exponent of the powei , and find the natural number corresponding to the product (310). (329.) To extract any Root of a Number. Divide the logarithm of the number by the integer corresponding to the root, and find the natural number corresponding to the quotient (310).... | |
 | Samuel Alsop - Surveying - 1865 - 440 pages
....1362 ? Ans. .0000063836. Ex. 7. What is the tenth power of .9637? Ans. .69091. 16. To extract a given root of a number. Divide the logarithm of the number by the degree of the root to be extracted : the quotient will be the logarithm of the root. contain the divisor... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...Vm. That is x_, r i—__log. m -— og. Mm— - . 1C 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... | |
 | 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... | |
 | W C. U - 1874 - 26 pages
...of the number by the index of the power; the product is the Logarithm of the power. To extract the root of a number : — Divide the Logarithm of the number by the exponent of the root ; the quotient is the Logarithm of the root. PROPORTIONAL PARTS. — The Logarithm... | |
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Any Root of a Number, — Divide the logarithm of the number by the index of the root required, and the quotient will be the logarithm of the required root. 
