 | William Findlay Shunk - Railroad engineering - 1890 - 360 pages
...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 the logarithm of the number divided by the index of the root. 6. The preceding principles enable us to... | |
 | William Joseph Hussey - Logarithms - 1891 - 172 pages
...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 the logarithm of the number divided by the index of the root. Or, expressed in formulas, log ¿ X .B =... | |
 | Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...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 the logarithm of the number divided by the index of the root. For let a;=logam. .-. m = a*. I » .-. mг... | |
 | Edward Albert Bowser - Logarithms - 1895 - 124 pages
...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 the logarithm of the number divided by the index of the root. For the investigations of these rules the... | |
 | George Washington Hull - Algebra - 1895 - 358 pages
...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.... | |
 | Edward Albert Bowser - Logarithms - 1908 - 128 pages
...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 the logarithm of the number divided by the index of the root. For the investigations of these rules the... | |
 | James William Nicholson - Trigonometry - 1898 - 204 pages
...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 -... | |
 | James Morford Taylor - Algebra - 1900 - 504 pages
...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... | |
 | Webster Wells - Algebra - 1906 - 550 pages
...the assumed equation to the pth powei, apx = mp; whence, loga m? =px =p loga m. 424. In any system, the logarithm of any root of a number is equal to the logarithm of the number divided by the index oj the root. For, logaVm = log.(m'-) = };log0m (§ 423).... | |
 | William Findlay Shunk - Railroad engineering - 1908 - 386 pages
...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 the logarithm of the number divided by the index of the root. . 6. The preceding principles enable us to... | |
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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. 
