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" 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 ... - Σελίδα 192
των John Bonnycastle - 1811 - 220 σελίδες
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Τόμος 1

Samuel Webber - 1801
...of 4, in the above series, is 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...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...

A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811
...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 pbwer of 4. Ai}d, if the logarithm of any number be divided by the index of its root, the quotient...

A Course of Mathematics: For the Use of Academies as Well as ..., Τόμος 1

Charles Hutton - 1812
...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...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...

A Course of Mathematics in Two Volumes for the Use of Academies, as ..., Τόμος 1

Charles Hutton - 1816
...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...

Logarithmick Arithmetick: Containing a New and Correct Table of Logarithms ...

1818 - 251 σελίδες
...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...

A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822
...power. Thus, the index or logarithm of 4 in the above series, is 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,...

The Complete Mathematical and General Navigation Tables: Including ..., Τόμος 1

Thomas Kerigan - 1828 - 664 σελίδες
...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...

Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - 1828 - 264 σελίδες
...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...

Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - 1828 - 264 σελίδες
...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...

Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - 1830 - 264 σελίδες
...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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