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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. "
The Field Engineer: A Handy Book of Practice in the Survey, Location, and ... - Página 4
por William Findlay Shunk - 1890 - 339 páginas
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A College Algebra

James Morford Taylor - 1889 - 363 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. 307. From the principles proved above, we see that by the use of logarithms the operations of multiplication...
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Logarithmic and Other Mathematical Tables

William Joseph Hussey - 1891 - 144 páginas
...logarithm of 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...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 - 174 páginas
...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 - 148 páginas
...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 - 368 páginas
...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 - 338 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 - 193 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 - 1908 - 87 páginas
...factors. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. The logarithm of any power of a number...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 - 87 páginas
...factors. The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. The logarithm of any power of a number...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 - 344 páginas
...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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