| 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.... | |
| 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).... | |
| Edward Smyth - Life insurance - 1860 - 106 pages
...remainder will be the logarithm of the quotient. Hence any root of a number may be ascertained by dividing the logarithm of the number by the index of the root ; the quotient will be the logarithm of the root. The above series are sufficiently extensive to afford practical... | |
| 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
...~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
...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 =... | |
| W C. U - 1874 - 24 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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