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" Multiply the logarithm of the number given by the proposed index of the power, and the product will be the logarithm of the power sought Note. In multiplying a logarithm with a negative index by any affirmative number, the product will be negative. —... "
Plane and spherical trigonometry. [With] Solutions of problems - Page 13
by Henry William Jeans - 1858
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Mathematical Tables;: Containing the Common, Hyperbolic, and Logistic ...

Charles Hutton - Mathematics - 1811 - 574 pages
...Involution, or Raising of Powers. Multiply the logarithm of the number giren by the proposed index of the power, and the product will be the logarithm of the power sought. Note, In multiplying a logarithm with a negative index by any affirmative number, the product...
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Mathematical and Astronomical Tables: For the Use of Students in Mathematics ...

William Galbraith - Astronomy - 1834 - 454 pages
...perform Involution by Logarithms. RULE .— Multiply the logarithm of the given number by the index of the power, and the product will be the logarithm of the power required. Ex. 1. — What is the square of 64 ? Given number 64 . . log 1.806180 Index of the power...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 328 pages
...to any power, by means of logarithms, multiply the logarithm of the given number by the exponent of the power, and the product will be the logarithm of the power. » EXAMPLE I. Required the 4th power of .09163 log. of .09163 is 2.962038 Multiply by 4 Product 5.848152...
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Plane and Spherical Trigonometry ...

Henry W. Jeans - Trigonometry - 1842 - 138 pages
...quotient (16). 1- -T- 3.2 or — Ans. -3125 (17). 1 -f- .45 or— .. 2.222 (.8). l-.0004572or .. 2.87.23 Involution, or Raising of Powers by Logarithms. 16....number denoting the power, and the product will be a logarithm, the natural number of which is the power required. Required the 16th. power of 1.05 or...
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Mathematical Tables: Containing the Common, Hyperbolic, and Logistic ...

Charles Hutton - Logarithms - 1842 - 450 pages
...Involution, or Raùing of Powers. Multiply the logarithm of the number given by the proposed index of the power, and the product will be the logarithm of the power sought. Note, In multiplying a logarithm with a negative index by any affirmative number, the product...
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - Trigonometry - 1851 - 524 pages
...to any power, by means of logarithms, multiply the logarithm of the given number by the exponent of the power, and the product will be the logarithm of the power. EXAMPLES. 1. Required the 4th power of -09163 log. of '09163 is 2-96204 Multiply by 4 Product 5-84816...
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Mathematical Tables: Containing the Common, Hyperbolic, and Logistic ...

Charles Hutton - Logarithms - 1855 - 462 pages
...Involution, or Raising of Powers. Multiply the logarithm of the number given by the proposed index of the power, and the product will be the logarithm of the power sought Note. In multiplying a logarithm with a negative index by any affirmative number, the product...
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Plane and Spherical Trigonometry, Part 2

Henry W. Jeans - 1872 - 142 pages
...logarithm of any number N" by any number r is the logarithm of the rth power of N : hence this Rule. Multiply the logarithm of the quantity to be raised by the number denoting the power : the product will be the logarithm of the power, the natural number of which is the power required....
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Surveying and Navigation: With a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - Navigation - 1873 - 536 pages
...log n' = p log n. 23. Rule. 1. Find the logarithm of the number and multiply it by the exponent of the power, and the product will be the logarithm of the power. 2. Find the number corresponding which will be the power. 24. Examples. 1. Find the cube of .034. (1)...
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Plane and Spherical Trigonometry and Mensuration

Aaron Schuyler - Measurement - 1875 - 284 pages
...log ni' = p log n. 23. Rule. 1. Find the logarithm of the number and multiply it by the exponent of the power, and the product will be the logarithm of the power. 2. Find the number corresponding which will be the power. 24. Examples. 1. Find the cube of .034. (1)...
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