Mathematical Key: New Combinations in Respect to the Binomial Theorem and Logarithms; and a New Discovery of One General Root Theorem for the Solution of Equations of All Degrees ...

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author, 1855 - 100 σελίδες
 

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Σελίδα 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 3 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Σελίδα 2 - The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors.
Σελίδα 30 - The coefficient of the fourth term, with its sign changed, is equal to the sum of all the products that can be formed by taking the roots three at a time.
Σελίδα 30 - Ci dl is a determinant of the fourth order, and it is equal to the sum of all the products that can be formed by...
Σελίδα 2 - M=a% and we find du dx= — ; - — . u log.' a If a be the base of a system of logarithms, then x is the logarithm of u in that system, and j — ; — , Algebra, Art.

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