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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. "
Encyclopaedia Perthensis; Or Universal Dictionary of the Arts, Sciences ... - Página 323
1816
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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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Numerical Problems in Plane Geometry with Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 144 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...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 161 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...
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Elements of Plane and Spherical Trigonometry

James William Nicholson - 1898 - 162 páginas
...the power. For, Art. 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...
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Elements of Algebra

James Morford Taylor - 1900 - 461 páginas
...power of a number is equal to the logarithm of the number multiplied by the exponent of the power ; and the logarithm of any root of a number is equal to the logarithm of the number divided by the index of the root. Ex. 1. Given Iog102 = . 30103 and Iogi03 = .47712 ; find Iog10^/720. logio -У720...
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Academic Algebra

William James Milne - 1901 - 444 páginas
...logarithms. Since logarithms are simply exponents, it follows that : 474. PRINCIPLE. — The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the required root; that is, , „,- log m lo any base, log vm = The above principle may be...
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College Algebra

James Harrington Boyd - 1901 - 777 páginas
...5(logn3+logo7). COROLLARY. —Put n — - for n in (5), then (6) loga (mr) = ;loga"*That is, ?Ae logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. Kg., 559. It follows from (5), (6), and (7) that by the use of logarithms the operations...
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Advanced Algebra for Colleges and Schools

William James Milne - 1902 - 608 páginas
...logarithms. Since logarithms are simply exponents, it follows that : 482. PRINCIPLE. — The logarithm of the root of a number is equal to the logarithm of the number divided by the index of the required root; that is, To any base, log -v/m = ^^n The above principle may be established...
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School Algebra

John Marvin Colaw - 1903 - 432 páginas
....78542.4. 154. 7. 1.073. 10. .3213. 13. .03928. 5. 782. 8. .0282. 11. 5745. 14. 482. The logarithm of the root of a number is equal to the logarithm of the number divided by the index of the root. Thus, VI00OO = Vl04 = 10^. .-. log VlO0O0 = 4 -=- 2 = 2. In general, if log m =...
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Mathematics, mechanics, heat

American School (Chicago, Ill.) - 1903
...definition l°ga (™p) = px Substituting for x its value, loga (»i?) = p loga m 64. The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. By algebra, Therefore, by Art. 63, 65. A few examples will illustrate these principles....
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