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" The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. "
Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ... - Pągina 22
per Aaron Schuyler - 1873 - 490 pągines
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Logarithmic and Other Mathematical Tables

William Joseph Hussey - 1891 - 172 pągines
...any power of a number is equal to the logarithm of the number multiplied by the index of the power. The logarithm of any root of a number is equal to...logarithm of the number divided by the index of the root. Or, expressed in formulas, log æ X .B = log æ + logB, log = logA-logB, log A- =n log Л, log i/2...
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Elements of Trigonometry with Logarithmic and Other Tables

Henry Hunt Ludlow - 1891 - 322 pągines
...logarithm of the number multiplied by the exponent of the power. 4°. The logarithm of any root of any number is equal to the logarithm of the number divided by the index of the root. Applications. 5. When the mantissa of a subtrahend is greater than that of the minuend, unity is added...
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Logarithmic and Other Mathematical Tables

William Joseph Hussey - 1891 - 178 pągines
...number is equal to the logarithm of the number multiplied by the index of the power. The logari(hm of any root of a number is equal to the logarithm of the number div1ded by the index of the root. Or, expressed in formulas, log Л X .B = log A + log Я, log^ =logA—...
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A Treatise on Plane and Spherical Trigonometry: And Its Applications to ...

Edward Albert Bowser - 1892 - 392 pągines
...number multiplied by the exponent of the power. For let a; = log„m. .-. m = az. .-. logamp = px= (7) The logarithm of any root of a number is equal to...logarithm of the number divided by the index of the root. For let a;=logam. .-. m = a*. I » .-. mг = aг. - x I .: log(mг) = - = -logam. rr It follows from...
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An Academic Algebra

James Morford Taylor - 1893 - 362 pągines
...the number multiplied by the exponent of the power ; and the logarithm of any root of a number equals the logarithm of the number divided by the index of the root. 340. From the principles proved above, we see that by the use of logarithms the operations of multiplication...
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A Treatise on Plane and Spherical Trigonometry

Ephraim Miller - 1894 - 222 pągines
...the number multiplied by the exponent of the power. (4) The logarithm of any root of a number equals the logarithm of the number divided by the index of the root. 143. The Arithmetwal Complement of a logarithm is the remainder after subtracting the logarithm from...
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Logarithmic and Trigonometric Tables

Edward Albert Bowser - 1908 - 128 pągines
...power of a number is equal to the logarithm of the number multiplied by the exponent of the power. The logarithm of any root of a number is equal to...logarithm of the number divided by the index of the root. For the investigations of these rules the student is referred to the " Treatise on Trigonometry," p....
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Logarithmic and Trigonometric Tables

Edward Albert Bowser - 1895 - 124 pągines
...power of a number is equal to the logarithm of the number multiplied by the exponent of the power. The logarithm of any root of a number- is equal to...logarithm of the number divided by the index of the root. For the investigations of these rules the student is referred to the " Treatise on Trigonometry," p....
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A Complete Algebra: For High Schools, Academies and Normal Schools

George Washington Hull - 1895 - 358 pągines
...logf 10. log'-0/. 15. loglTV. 20. log 17/s. 6. log A11. log--°Ty-. 16. logSf. 21. k>g23t)i§. 277. The logarithm of any root of a number is equal to the logarithm of the quantity divided by the index of the root. Let m be any number, and x its logarithm. Then, by definition,...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 186 pągines
...equal to the logarithm of the number multiplied by the exponent of the power. IV. The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. 3. The only kind of logarithms with which we have to do here are those in which the assumed number,...
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