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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. "
Elements of Plane and Spherical Trigonometry: With Practical Applications - Page 4
by Benjamin Greenleaf - 1876 - 170 pages
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volume 13

Encyclopedias and dictionaries - 1816 - 746 pages
...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, according to the different...
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The London encyclopaedia, or, Universal dictionary of ..., Part 1, Volume 13

Thomas Curtis (of Grove house sch, Islington) - 412 pages
...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 to the different values...
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Elements of Surveying

Charles Davies - Surveying - 1830 - 390 pages
...equation az=n, x be taken, then, 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...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1833 - 436 pages
...equation ax=n, x- I x 1 be taken, then, 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...
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A system of popular trigonometry

George Darley - 1835 - 142 pages
...any number is equal to the logarithm of the number multiplied by the index of the power, 8. AHT. 6. The logarithm of the root of any number is equal to...logarithm of the number divided by the index of the root, 9. . THE APPLICATION OF ALGEBRA TO GEOMETRY. DEF. The area of a figure is the .portion of space contained...
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A Table of Logarithms: Of Logarithmic Sines, and a Traverse Table

Logarithms - 1836 - 192 pages
...- ix . be taken, then, am = rem; 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...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 300 pages
...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. m,, gives log. m, = log....
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 302 pages
...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. m', gives log. m' = log....
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A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ...

John Hymers - Logarithms - 1841 - 244 pages
...m = a', .-. m' = (a')' a", where r is any number whole or fractional, positive or negative. 10. The logarithm of the root of any number is equal to...logarithm of the number divided by the index of the root. Since т ч cf, .: <t/m • v/0* = ar, _ л i * * De V " / — V Oft r* TT 11. Hence, if we have...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
....•. by def. (2). — is the logarithm of N that is to say, The logarithm of any root of a given number is equal to the logarithm of the number divided by the index of the root. Combining the two last cases, we shall find, •fjj T~ nk whence, — is the logarithm of N "". 4...
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