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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. "
Elementary Trigonometry - Page 88
by James Hamblin Smith - 1870 - 224 pages
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volume 13

Encyclopedias and dictionaries - 1816
...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...
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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,...
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Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 326 pages
...results ! " 1 log y or log vy = - • log y ; that is, the logarithm of a root, of whatever degree, of a number is equal to the quotient arising from the division of the logarithm of that number by the indeoe of the root. Consequence. In- order to form any power of a number, it is...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 288 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'...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 302 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'...
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Binomial Theorem and Logarithms: For the Use of the Midshipmen at the Naval ...

William Chauvenet - Binomial theorem - 1843 - 102 pages
...of the number by the exponent of the power; the product is the logarithm of the required power. 63. The logarithm of any root of a number is equal to the logarithm of that number divided by the index of the root. For to extract the nth root of the equation...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...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. Find the square root of...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 346 pages
...shall obtain x 1 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. Find the square root of...
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Rudimentary Treatise on Logarithms

Henry Law - Logarithms - 1853 - 84 pages
...the logarithm of the nth root of m, is equal to n times the lugar rithm of m. PROPOSITION P. THEOREM. The logarithm of any root of a number, is equal to the logarithm of that number, divided by the exponent of the root. Let X = log;, m, then m = 6X ; let the...
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A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 316 pages
...shall obtain X therefore, according to the definition, — is the logarithm of i N"; hence PROPERTY IV. 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. Find the square root of...
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