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" Divide the logarithm of the given number by the index of the root ; and the quotient will be the logarithm of the required root (Art. "
Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ... - Page 22
by Aaron Schuyler - 1864 - 490 pages
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...power of .64. Ans. .0115292. EVOLUTION BY LOGARITHMS. 35. Divide the logarithm of the given number by the index of the root; and the quotient will be the logarithm of the required root (Art. 12). When the characteristic of the logarithm is negative, and does not contain...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 pages
...power of .64. Ans. .0115292. EVOLUTION BY LOGARITHMS. 35. Divide the logarithm of the given number by the index of the root ; and the quotient will be the logarithm of the required root (Art. 12). When the characteristic of the logarithm is negative, and does not contain...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...power of .64. Ans. .0115292. EVOLUTION BY LOGARITHMS. 35. Divide the logarithm of the given number by the index of the root ; and the quotient will be the logarithm of the required root (Art. 12). When the characteristic of the logarithm is negative, and does not contain...
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A treatise on mathematics, as applied to the contructive arts

Francis Campin - 1872 - 364 pages
...the product will be the log. of the required power. To extract a root, divide the log. of the number by the index of the root, and the quotient will be the log. of the required root. Examples. — Eaise 387 to the fourth power. Log. 387 = 2-587711 4th power...
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Plane and Spherical Trigonometry and Mensuration

Aaron Schuyler - Measurement - 1875 - 284 pages
...n = x. V(l) = (2) br =\/n; then, by def., log Vх n = — • r. — log *> .'. log V' il = — 2 . 26. Rule. 1. Find the logarithm of the number, divide...Examples. 1. Extract the square root of .75. (1) log .75=T.87506 (1)ч- 2 = (2) log V775=T93753 .-. V7ÍÍ = .86602. 8cholium. L87506 ~ 2 = (2 + 1.87506)...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...power of .64. Ans. .0115292. EVOLUTION BY LoGARITIms. 36. Divide the logarithm of the given number by the index of the root; and the quotient will be the logarithm of the required root (Art. 12). When the characteristic of the logarithm is negative, and does not contain...
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The Normal Higher Arithmetic: Designed for Common Schools, High Schools ...

Edward Brooks - Arithmetic - 1877 - 564 pages
...BY LOGARITHMS. 26. From Prin. 7, to extract any root of a number, we have the following RULE.—I. Find the logarithm of the number, divide it by the index of the root, and find the number corresponding to the result. II. If the characteristic is negative and not divisible...
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Mathematical tables for trigonometrical, astronomical, and nautical ...

Henry Law - 1884 - 568 pages
...required. RULE II. — To extract any root of a number, divide the logarithm of that number by the exponent of the root, and the quotient will be the logarithm of the root required. EXAMPLES. What is the square of 745, the cube of 67, and the 7th power of 8 J Logarithm of...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...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. Examples. Find the square root of 256. Log....
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Elements of Plane and Spherical Trigonometry

James William Nicholson - Trigonometry - 1898 - 204 pages
...5, log k = i log .075 = i (8.87506 - 10) = i (48.87506 - 50) = 9.77501 - 10. ... fc = .5956. RULE. Find the logarithm of the number, divide it by the index of the root, and find the number whose logarithm is the quotient, and it will be the required root. Examples. Find the...
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