 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...number by the index of the root, and the quotient will be the exponent of the required root. Hence, the logarithm of a root of a number is equal to the quotient obtained by dividing the logarithm of the number by the index of the root. Now, understanding that... | |
 | George Albert Wentworth, Thomas Hill - Arithmetic - 1881 - 446 pages
...3" = 11 x log 3 = 11 x 0.4771 = 5.2481. 413. As logarithms are simply exponents, therefore (§381), The logarithm of a root of a number is equal to the logarithm of the number multiplied by the index of the root. Thus, log 2* = i of log 2 = £ x 0.3010... | |
 | George Albert Wentworth, Thomas Hill - Arithmetic - 1882 - 376 pages
...3" = 11 X log 3 = 11 X 0.4771 = 5.2481. 413. As logarithms are simply exponents, therefore (§381), The logarithm of a root of a number is equal to the logarithm of the number multiplied by the index of the root. Thus, log 2J = | of log 2 = } X 0.3010... | |
 | Edwin Pliny Seaver, George Augustus Walton - Algebra - 1881 - 304 pages
...N=b*. Taking the n" root, i/N= b", whence it appears (Art. 384) that is the logarithm of y/jV. Hence The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. 395. Briefly expressed in formulas the propositions... | |
 | Simon Newcomb - Algebra - 1882 - 302 pages
...Raising both sides to the иth power, 10"* = p". Whence nh — log jo", or n log p = logy. THEOREM X. The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. Proof. Let s be the number, and let p be... | |
 | George Albert Wentworth - 1888 - 388 pages
...3" = 11 X log 3 = 11 X 0.4771 = 5.2481. 413. As logarithms are simply exponents, therefore (§381), The logarithm of a root of a number is equal to the logarithm of the number multiplied by the index of the root. Thus, log 2* = \ of log 2 = JX 0.3010... | |
 | Joe Garner Estill - 1896 - 186 pages
...power of a number is 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... | |
 | Joe Garner Estill - Geometry - 1896 - 168 pages
...power of a number is 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... | |
 | James Harrington Boyd - Algebra - 1901 - 812 pages
...= 5 loga 21 = 5 (log. 3 + loge 7). CoaoLLAEY. — Put » = - for n in (5), then (G) log« That is, the logarithm of a root of a number is equal to the logarithm of //IK number divided by the index of the root. E. g., Loge VÏÏ9 = JY log« 119. 559.... | |
 | William James Milne - Algebra - 1901 - 462 pages
...Evolution by 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,... | |
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The logarithm of a root of a number is equal to the logarithm of the number divided by the index of the root. 
