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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. "
A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ... - Pàgina 81
per Nathan Scholfield - 1845
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1890 - 360 pàgines
...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. 6. The preceding principles enable us to abridge labor in arithmetical calculations, by using simple...
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Elements of Trigonometry with Logarithmic and Other Tables

Henry Hunt Ludlow - 1891 - 322 pàgines
...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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A Treatise on Plane and Spherical Trigonometry: And Its Applications to ...

Edward Albert Bowser - 1892 - 392 pàgines
...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 pàgines
...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 pàgines
...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 pàgines
...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 pàgines
...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 pàgines
...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 pàgines
...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 pàgines
...= 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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