 | Encyclopedias and dictionaries - 1816 - 744 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... | |
 | 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,... | |
 | 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... | |
 | Benjamin Peirce - Literary Criticism - 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'... | |
 | 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'... | |
 | 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... | |
 | Elias Loomis - Algebra - 1846 - 376 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... | |
 | Elias Loomis - Algebra - 1846 - 378 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... | |
 | 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... | |
 | Elias Loomis - Algebra - 1855 - 356 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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The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 
