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" ... if the logarithm of any number be multiplied by the index of its power, the product will be equal to the logarithm of that power. "
An Introduction to Algebra: With Notes and Observations: Designed for the ... - Page 169
by John Bonnycastle - 1782 - 201 pages
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Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1831 - 276 pages
...cube roots, seldom occur, and, when they do, the work is most easily performed by logarithms ; for, if the logarithm of any number be divided by the index of the root, the quotient will be the logarithm of the root itself. ARITHMETICAL PROGRESSION. IT 112....
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The Youth's Assistant in Theorhetic [sic] and Practical Arithmetic: Designed ...

Zadock Thompson - Arithmetic - 1832 - 186 pages
...cube root, &.c. The roots of high powers are most easily found by logarithms. If the logarithm of a number be divided by the index of its root, the quotient will be the logarithm of the root. The root of any power may likewise be found by the following RULE. 274....
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The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for ...

Zadock Thompson - Arithmetic - 1832 - 186 pages
...cube root, &.c. The roots of high powers are most easily found by ingarithms. If the logarithm of a number be divided by the index of its root, the quotient will be the logarithm of the root. The root of any power jiuty likewise be found by the following RULE. 274....
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Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1833 - 268 pages
...cube rcots, seldom occur, and, when they do, the work is most easily performed by logarithms ; for, if the logarithm of any number be divided by the index of the root, the quotient will be the logarithm of the root itself. PROGRESSION*. IT 112. Any rank or...
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The Complete Mathematical and General Navigation Tables: Including Every ...

Thomas Kerigan - Nautical astronomy - 1838 - 804 pages
...multiplied by 2, the product will be 8, which is the logarithm of 256, or the square of 16. Again, — if the logarithm of any number be divided by the index...logarithm of that root : thus, the index or logarithm of 256 is 8 ; now, 8 divided by 2 gives 4 ; which is the logarithm of 16, or the square root of 256, according...
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Arithmetic, in which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - 1839 - 268 pages
...cube roots, seldom occur, and, when they do, the work is most easily performed by logarithms ; for, if the logarithm of any number be divided by the index of the root, the quotient will be the logarithm oi' the root itself. PROGRESSION'. IT 112. Any rank or...
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1840 - 278 pages
...cube roots, seldom occur, and, when they do, the work is most easily performed by logarithms ; for, if the logarithm of any number be divided by the index of the root, the quotient will be the logarithm of the root itself. ARITHMETICAL PROGRESSION. TT 112....
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - Algebra - 1854 - 414 pages
...is 2 ; and, if this number be multiplied by 3, the product will be 6, which is the logarithm of 64, or the third power of 4. And, if the logarithm of any number be divided by the inc"3x of its root, the quotient will be equal to the logarithm of that root. Thus, the index or logarithm...
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A practical treatise on mining, land and railway surveying ..., Volume 35

Henry Davis Hoskold - 1863 - 308 pages
...log. of 4 in the above series is =2, which multiply by 3 = 6, which is the logarithm 64 or the cube of 4. " And if the logarithm of any number be divided...quotient will be equal to the logarithm of that root ; the index or logarithm of 64 (in the first series) is 6, if divided by 2 = 3, which is the logarithm...
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A Complete Epitome of Practical Navigation, and Nautical Astronomy ..., Volume 1

John William Norie, J. W. Saul - Nautical astronomy - 1917 - 642 pages
...multiplied by 2, the product will be 8, which is the logarithm of 256, or the square of 16. Again : if the logarithm of any number be divided by the index...logarithm of that root : thus, the index or logarithm of 256 is 8 ; now, 8 divided by 2 gives 4, which is the logarithm of 16, or the square root of 256, according...
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