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Books Books 11 - 20 of 22 on For the same reason, if the logarithm of any number be multiplied by the index of....
" For the same reason, 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 192
by John Bonnycastle - 1811 - 220 pages
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1830 - 264 pages
...cube rcots, seldom occur, aji, \vhen they do, the work is most easily performed by logarithms ; for, if the logarithm of any number be divided by the index of (he root, the quotient will be the logarithm of the root itself. PROGSIESSIOHT. IT 112. Any rank or...
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Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1831 - 264 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 Theoretic[!] and Practical Arithmetic ...

Zadock Thompson - Arithmetic - 1832 - 168 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 - 168 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 - 264 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
...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 - Arithmetic - 1839 - 264 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 - 264 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 Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845
...power. Thus, the index or logarithm of 4, in the above series 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 logarithms of any number be divided by the index of its root, the quotient will be equal to the logarithm...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 1845 - 232 pages
...logarithm of 4, in the above series 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 logarithms of any number be divided by the index of its root, the quotient will be equal to the logarithm...
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