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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 ... - Side 169
av John Bonnycastle - 1782 - 201 sider
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volum 1

1801 - 446 sider
...2 ; and if this number be multiplied by 3, the product will be z;6 ; which is the logarithm of 64, or the third power of 4. And if the logarithm of any...index of its root, the quotient will be equal to the logarJthm of that root. Thus, the index or logarithm of 64 is 6 ; and if this number be divided by...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812 - 620 sider
...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 tlie index of its root, the quotknt will be equal to the logarithm of that root. Thus, the index or...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volum 1

Charles Hutton - 1816 - 610 sider
...be multiplied by 3, the product will b* = 6 ; which is the logarithm of 64, or the third power Of4. And, if the logarithm of any number be divided by...root, the quotient will be equal to the logarithm ef that root. Thus, the index or logarithm of 64 is 6 ; and if this number be divided by 2, the quotient...
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Logarithmick Arithmetick: Containing a New and Correct Table of Logarithms ...

1818 - 264 sider
...multiplied by 3, the product will be 6, equal to the logarithm of 1000000, or the 3d power of 100. Again, if the logarithm of any number be divided by the index of its root, the quotient will be the logarithm of its root. Thus, the index, or logarithm of 1000000, is 6, and if this number be divided...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822 - 616 sider
...t ; and if this number be multiplied by 3, the product will be = 6 ; which is the logarithm of 61, or the third power of 4. And, if the logarithm of any number be divided by the index of its root, tbe quotient will be equal to the logarithm of that root.' Thus, the index or logarithm of 64 is 6...
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The Complete Mathematical and General Navigation Tables: Including ..., Volum 1

Thomas Kerigan - 1828 - 776 sider
...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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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - 1828 - 286 sider
...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. V 112. Any...
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - 1828 - 266 sider
...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...
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - 1830 - 294 sider
...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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Adams's New Arithmetic

Daniel Adams - 1830 - 280 sider
...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. ARITHMETICAL PROGRESSION1. V 112....
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