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" ... multiplied by it will give a negative result ; but that which is to be carried from the decimal part will be positive; therefore, their difference will be the characteristic of the product. Ex. 1. Required the square, or second power, of 31. Log 31... "
Elements of Plane and Spherical Trigonometry: With Practical Applications - Page 11
by Benjamin Greenleaf - 1867 - 170 pages
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The Theory and Practice of Finding the Longitude at Sea Or Land ..., Volume 2

Andrew Mackay - Latitude - 1809 - 414 pages
...given Number, RULK. Multiply the logarithm of the given number by the index of the power to which it is to be raised, and the product will be the logarithm of the power sought. EXAMPLES. I. Required the square of 38 ? Given number 38 - log. Index of the power -...
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A Complete Epitome of Practical Navigation ...

John William Norie - Nautical astronomy - 1852 - 844 pages
...or involve a number to a given power, multiply its logarithm by the index of the power to which it is to be raised, and the product will be the logarithm of the power sought. When the given number is a decimal fraction, prefix as many ciphers, less one, as the...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...219 : 63.05 :: 378. Log 378 = 2.577492 " 63.05 = 1.799685 " 219 ar. co. = 7.659556 4th term = 108.826 2.036733 6. Find the 4th term of the proportion, 720...be the logarithm of the required power (Art. 11). acteristic multiplied by it will give a negative result ; but that which is to be carried from the...
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Elements of Geometry and Trigonometry;: With Practical Applications

Benjamin Greenleaf - Geometry - 1863 - 502 pages
...2.036733 6. Find the 4th term of the proportion, 720 : 196 :: 155.5. INVOLUTION BY LOGARITHMS. Ans. 42.33. 34. Multiply the logarithm of the given number by...will be the logarithm of the required power (Art 11). acteristic multiplied by it will give a negative result; but that which is to be carried from the decimal...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 pages
...: 63.05 :: 378. Log 378 = 2.577492 63.05 = 1.799685 " 219 ar. co. = 7.659556 4th term = 108.826 2.036733 6. Find the 4th term of the proportion, 720...be the logarithm of the required power (Art. 11). acteristic multiplied by it will give a negative result ; but that which is to be carried from the...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...= 7.659556 4th term = 108.826 2.036733 6. Find the 4th term of the proportion, 720 : 196 :: 156.6. Ans. 42.33. INVOLUTION BY LOGARITHMS. 34. Multiply...will be the characteristic of the product. Ex. 1. Required the square, or second power, of 31. Log 31 = 1.491362 2 Ans. 961 2.982724 2. Required the...
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Mathematical Tables Consisting of Logarithms of Numbers 1 to 108000 ...

James Pryde - Mathematics - 1878 - 508 pages
...nr LOGARITHMS. Multiply the logarithm of the given number by the exponent of the power to which it is to be raised, and the product will be the logarithm of the required power. EXAMPLE. Find the cube of 307146. L 30-7146 = 1-4873449 3 Tower = 28975-75, its log. = 4-4620347...
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Mathematical tables

James Pryde - 1878 - 520 pages
...RY LOGARITHM8. Multiply the logarithm of the given number by the exponent of the power to which it is to be raised, and the product will be the logarithm of the required power. EXAMPLE. Find the cube of 30-7146. L 30-7146 = 1-4873449 3 Power = 28975-75, its log. = 4-4620347 EXERCI8E8....
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A Practical Treatise on Mine Surveying

Arnold Lupton - Coal mines and mining - 1902 - 494 pages
...power by logarithms. Multiply the logarithm of the given number by the index of the power to which it is to be raised, and the product will be the logarithm of the required power. (1) Find the cube of 30-7140, written thua: (307146)3. Log. 30-7146 = 1-4873449 3 4-4620347, which...
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A Complete Epitome of Practical Navigation, and Nautical Astronomy ..., Volume 1

John William Norie, J. W. Saul - Nautical astronomy - 1917 - 642 pages
...or involve a number to a given power, multiply its logarithm by the index of the power to which it is to be raised, and the product will be the logarithm of the power sought. When the given number is a decimal fraction, reject the tens resulting from the multiplication...
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