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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 Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ... - Page 81
by Nathan Scholfield - 1845
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## Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volume 13

...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

...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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## A system of popular trigonometry

George Darley - 1835 - 142 pages
...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 the 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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## 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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## 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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## A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ...

John Hymers - Logarithms - 1841 - 242 pages
...where r is any number whole or fractional, positive or negative. 10. The logarithm of the root of any number is equal to the 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 - 896 pages
...denominator. III. Raise both members of equation (1) to the power of n. Nn =a" .-. by def. (2), nx is the logarithm of N ", that is to say, The logarithm of any power of a given number is equal to the logarithm of the number multiplied by the exponent of the power....
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## Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Conic sections - 1845 - 244 pages
...denominator. III. Raise both members of equation (1) to the power of n. N" =a" .*. by def. (2), na; is the logarithm of N ", that is to say, The logarithm of any power of a given number is equal to the logarithm of the number multiplied by the exponent of the power....
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## Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 1845 - 506 pages
...n. Nn — aM .*. by def. (2), nx is the logarithm of N n, that is to say, The logarithm of any power of a given number is equal to the logarithm of the number multiplied by the exponent of the power. IV. Extract the n* root of both members of equation (1). X...
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## A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...nth root of both members of equation (1), we shall obtain i therefore, according to the definition, - is the logarithm of N" ; that is to say, The logarithm of any root of a number, is equal to the logarithm of that number divided by the index of the root. EXAMPLES. Ex. 1....
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