 | Benjamin Peirce - Algebra - 1837 - 300 pages
...Logarithm of Root, Quotient, and Reciprocal. that is, the logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 10. Corollary. If we substitute p = m», or n . m = */p, in the above equation, it becomes n log. p... | |
 | Benjamin Peirce - Algebra - 1837 - 302 pages
...Logarithm of Root, Quotient, and Reciprocal. that is, the logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 10. Corollary. If we substitute m = Vp, in the above equation, it becomes log. p = n log. or , " log.... | |
 | Nathan Scholfield - Geometry - 1845 - 506 pages
...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 .: by def. (2), — is the logarithm of... | |
 | Nathan Scholfield - 1845 - 894 pages
...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. IV. Extract the »** root of both members of equation.(l). _1_ X N n= x _L .•. by def. (2). — is... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...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. IV. Extract the n" root of both members of equation (1). x JL .: by def. (2), — is the logarithm... | |
 | Charles William Hackley - Algebra - 1846 - 542 pages
...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. IV. Extract the »ith root of both members of equation (1). i * N~°=<z°. x 1 .-. by definition, -... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...is the logarithm of M n (Art. 1) : hence, The logarithm of any power of a given number is equal to the logarithm of the number multiplied by the exponent of the power. 16. Taking the same equation, IQ™=M, and extracting the nib. root of both members, we have m _! 10n=ifn'... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...is the logarithm of J/" (Art. 1) : hence, The logarithm, of any power of a given number is equal to the logarithm of the number multiplied by 'the exponent of the power. 16. Taking the same equation, 1Om = M, and extracting the nth root of both members, we have HI which... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...The logarithm of any power oj a. quantity, is equal to the product of the logarithm of the quantity by the exponent of the power. 4. The logarithm of any root of a quantity, 1,4 equal to the logarithm of t he quantity, divided by the index of the root. These four... | |
 | Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...logarithm of any potter of a quantity, is equal to the product of the logarithm of the quantity ¡¡у the exponent of the power. 4. The logarithm of any root of a quantity, it equal to the logarithm of thcquantily,dnidcd liy the index of the root. These four principles... | |
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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. 
