A Treatise On Algebra Containing the Latest Improvements Adapted to the Use of
A Treatise On Algebra Containing the Latest Improvements Adapted to the Use of
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— In a system of logarithms, all numbers are consl i the powers of some one number, arbitrarily assumed, which is called the base of Oie system, and the exponent of that power of the base which is equal to any given number is called the Logarithm of that number. • Thus, if a be the base of a system of logarithms, N any number, and x such that Naca x, then X is called the logarithm of N, in \\ e Bystem whose base is a.
The base of the common system of logarithms (called, from their inventor, "Br...iggs's Logarithms") is the number 10. Hence, since (10)°= 1, is the logarithm of 1 in this system, (!())'= 10, 1 is the logarithm of 10 in this system, (10)-= 100, 2 is the logarithm of 100 in this system, (10) :, = 1000, . ". Is the logarithm of 1000 in this system, (10) 4 ±10000, I is the logarithm of 10000 in tins system, flee. = dec. IVc 211. In crder to havo the numbers corresponding to the logarithms L, j or 0. 5, I or 0. »5, &c, it is necessary to extract the Bquare, 4th, and so on, root of 10, or tt ttttct the square root successively, as exhibited in die following tuble : LOGARITHMS 259 Nnm.
What to read after A Treatise On Algebra Containing the Latest Improvements Adapted to the Use of?
You can find similar books in the "Read Also" column, or choose other free books by Charles W Charles William Hackley to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
— In a system of logarithms, all numbers are consl i the powers of some one number, arbitrarily assumed, which is called the base of Oie system, and the exponent of that power of the base which is equal to any given number is called the Logarithm of that number. • Thus, if a be the base of a system of logarithms, N any number, and x such that Naca x, then X is called the logarithm of N, in \\ e Bystem whose base is a.
The base of the common system of logarithms (called, from their inventor, "Br...iggs's Logarithms") is the number 10. Hence, since (10)°= 1, is the logarithm of 1 in this system, (!())'= 10, 1 is the logarithm of 10 in this system, (10)-= 100, 2 is the logarithm of 100 in this system, (10) :, = 1000, . ". Is the logarithm of 1000 in this system, (10) 4 ±10000, I is the logarithm of 10000 in tins system, flee. = dec. IVc 211. In crder to havo the numbers corresponding to the logarithms L, j or 0. 5, I or 0. »5, &c, it is necessary to extract the Bquare, 4th, and so on, root of 10, or tt ttttct the square root successively, as exhibited in die following tuble : LOGARITHMS 259 Nnm.
What to read after A Treatise On Algebra Containing the Latest Improvements Adapted to the Use of?
You can find similar books in the "Read Also" column, or choose other free books by Charles W Charles William Hackley to read onlineMoreLess
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