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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. "
Plane and Spherical Trigonometry and Mensuration - Side 20
av Aaron Schuyler - 1875 - 251 sider
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A College Algebra

James Morford Taylor - 1889 - 400 sider
...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. 307. From the principles proved above, we see that by the use of logarithms the operations of multiplication...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1890 - 360 sider
...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. 6. The preceding principles enable us to abridge labor in arithmetical calculations, by using simple...
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Logarithmic and Other Mathematical Tables

William Joseph Hussey - 1891 - 172 sider
...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 ¿ X .B = log ¿ + 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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 - 1908 - 128 sider
...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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