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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. "
Elements of Plane and Spherical Trigonometry with Logarithmic and Other ... - Página 4
por Simon Newcomb - 1882 - 104 páginas
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Logarithmic and Other Mathematical Tables

William Joseph Hussey - 1891 - 178 páginas
...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 páginas
...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 the 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 páginas
...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 páginas
...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 - 1895 - 124 páginas
...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 the 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 - 1908 - 128 páginas
...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 the 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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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 186 páginas
...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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Numerical Problems in Plane Geometry with Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 168 páginas
...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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Elements of Plane and Spherical Trigonometry

James William Nicholson - 1898 - 204 páginas
...2, (/)', a* = l0"'. ... (Art. 1), logai=pa', or by (A), log a" =px loga. 5. lV. The logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. For, Art. 2, • V(f), .Vä = l 0"r . r - a' .•. (Art. 1), logVä = — > or by (A), log л/а =...
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Elements of Algebra with Exercises

George Egbert Fisher, Isaac Joachim Schwatt - 1899 - 506 páginas
...numerator is 1, this principle may be conveniently stated thus : The logarithm of a root of a number is the logarithm of the number divided by the index of the root. ,ir For, logi (m') = llog m = Ч Ч Eg, If Iog7 2401 = 4, what is Iog7 V2401 ? We have Iog7 V2401 =...
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