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" The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. "
A Treatise on Algebra - Page 308
by Elias Loomis - 1858 - 359 pages
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volume 13

Encyclopedias and dictionaries - 1816 - 746 pages
...number is equal to the logarithm of that number, multiplied by the exponent of the power ; alfo, that the logarithm of any root of a number is equal to the logarithm of the number divided by the exponent of the root. (42.) There may- be various fyftems of logarithms,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...root multiplied by the index of the power, and 4th. The logarithm of any root of a number is cqidl to the logarithm of that number divided by the index of the root. On these four properties the following rules arc founded. TABLES OF LOGARITHMIC SINES, TANGENTS, of...
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The London encyclopaedia, or, Universal dictionary of ..., Part 1, Volume 13

Thomas Curtis (of Grove house sch, Islington) - 412 pages
...number is equal to the logarithm of that number, multiplied by the exponent of the power ; also, that the logarithm of any root of a number is equal to the logarithm of the number divided by the exponent of the root. 42. There may be various systems of logarithms, according...
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Elements of Surveying

Charles Davies - Surveying - 1830 - 390 pages
...a'"=nm ; but - is the logarithm of nm ; from which it appears, that the logarithm of the root of any number, is equal to the logarithm of that number divided by the index of the root. 8. It is evident, that the results obtained in the last four articles are equally true, whether the...
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Elements of Surveying: With the Necessary Tables

Charles Davies - Surveying - 1830 - 318 pages
...- is the logarithm of nm ; from which it appears, tlmt the logarithm of the root of any number, it equal to the logarithm of that number divided by the index of tha root. 8. It is evident, that the results obtained in the last four articles are equally true, whether...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1833 - 436 pages
...am=nm; but- is the logarithm of nm; from 771 which h appears, that the logarithm of the, root of any number, is equal to the logarithm of that number divided by the index of the root. 8. It is evident, that the results obtained in the last four articles are equally true, whether the...
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A Table of Logarithms: Of Logarithmic Sines, and a Traverse Table

Logarithms - 1836 - 192 pages
...but- is the logarithm of nm ; from m -- • which it appears, that the logarithm of the root of any number, is equal to the logarithm of that number divided by the index of the root. 8. It is evident, that the results obtained in the last four articles are equally true, whether the...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 300 pages
...= */p, in the above equation, it becomes n log. p = » log. V>, or * log! p log- Vp = *&* that is, the logarithm of any root of a number is equal to the logarithm of the number divided by the exponent of the root. 11. Corollary. The equation log. m m' = log. m + log....
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 302 pages
...substitute m = Vp, in the above equation, it becomes log. p = n log. or , " log. n log. V>= -~n that is, the logarithm of any root of a number is equal to the logarithm of the number divided by the exponent of the root. 11. Corollary. The equation log. m m' = log. m -f log....
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 300 pages
...*»", • m = in the above equation, it becomes log. p = n log. or " log. p log. VP = =3* that is, </ie logarithm of any root of a number is equal to the logarithm of the number divided by the expon ent of the root. 11. Corollary. The equation log. mm' = log. m -f log....
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