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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. "
Coal and Metal Miners' Pocketbook of Principles, Rules, Formulas, and Tables ... - Page 18
by International Correspondence Schools - 1900 - 637 pages
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The Coal and Metal Miners' Pocketbook of Principles, Rules, Formulas, and Tables

Thomas J. Foster - Coal mines and mining - 1905 - 1056 pages
...number can readily be raised to any power required. To Extract the Squire, Cube, Fourth, Fifth, c' Any Root of a Number. — Divide the logarithm of...will be the logarithm of the required root. Thus, to und the square root of 625: Logarithm of 625 = 2.79588. 2.79588 -i- 2 = 1.89794. 1.39794 = logarithm...
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Elementary Algebra

Frederick Howland Somerville - Algebra - 1908 - 428 pages
...power, multiply the logarithm of the number by the exponent of the required power. (4) To extract a root of a number, divide the logarithm of the number by the index of the required root. The antilogarithm of a result obtained by one of these processes is the required number....
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A Manual of Practical Mathematics

Frank Castle - Mathematics - 1908 - 616 pages
...number consists of a negative characteristic and a positive mantissa. Evolution. — To obtain the root of a number, divide the logarithm of the number by the number which indicates the root. Ex. 1. Find the cube root of 32-4. Let X denote the value ; .-. a;...
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Practical Calculations for Engineers: For the Use of Engineering Students ...

Charles E. Larard, Henry A. Golding - Engineering - 1909 - 556 pages
...of the answer which may be obtained from the table of antilogarithms. (d) Evolution. — To obtain any root of a number, divide the logarithm of the number by the index of the root : the result is the logarithm of the required root of the number, and by reference to the table of...
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Plane Trigonometry

Fletcher Durell - Plane trigonometry - 1910 - 348 pages
...index of the Гequired power andfind the antilogarithm of the product. IV. To extract the required root of a number : Divide the logarithm of the number by the index of the required root andfind the antilogarithm of the quotient. Ex. 1. Multiply 561.75 by .03286 by the use...
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The Mariners' Handbook: A Convenient Reference Book for Navigators ...

International Correspondence Schools - Naval art and science - 1911 - 450 pages
...the logarithm of the root. Hence, to extract any root of a number by means of logarithms : Rule. — Divide the logarithm of the number by the index of the root; the result will be the logarithm of the root. Example. — Extract (a) the square root of 77,851 ;...
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Elementary Algebra Revised

Frederick Howland Somerville - Algebra - 1913 - 458 pages
...power, multiply the logarithm of the number by the exponent of the required power. (4) To extract a root of a number, divide the logarithm of the number by the index of the required root. The antilogarithm of a result obtained by one of these processes is the required number....
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Mechanical and Refrigerating Engineers' Handy Book

Otto Luhr - Air conditioning - 1913 - 952 pages
...of the power ; the product will be the logarithm of the required number. To find any root of a given number, divide the logarithm of the number by the index of the root (3 for root, 4 for fourth root, etc.) ; the quotient will be the logarithm of the root. To change from...
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Plane Trigonometry with Tables

Claude Irwin Palmer, Charles Wilbur Leigh - Plane trigonometry - 1914 - 308 pages
...a number by means of logarithms. — Property (7) of Art. 6 gives the following: RULE. To find the root of a number, divide the logarithm of the number by the index of the root; the number corresponding to this logarithm is the root required. Example 1. Find ^27.658. Process....
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Durell's School Algebra

Fletcher Durell - Algebra - 1914 - 606 pages
...number by the index of the power. Find the antilogarithm of the product. IV. To Extract a Required Root of a Number, Divide the logarithm of the number by the index of the required root. Find the antilogarithm of the quotient. Ex. 1. Multiply 527 by .083 by the use of logs,...
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