 | James Thomson - 1848 - 326 σελίδες
...y—logx. Hence, as x may be any positive number, and y its logarithm, we arrive at the conclusion, that the logarithm of a number is the index of the power to which the base of the system must be raised to produce that number. Thus, in the common logarithms, m which 10, the... | |
 | John Bonnycastle - 1848 - 334 σελίδες
...1 ; then e 1. S + 1.2.8 and if x = 1, we get __ + _ + _ + = 2-718281828459. THEORY OF LOGARITHMS. A logarithm of a number is the index of the power to which a given quantity must be raised that the power may be equal to the number. Thus, if the power a" be... | |
 | Stephen Chase - 1849 - 348 σελίδες
...(§23. d), of the system. Hence, for a given base, § 312. The logarithm of any number is the exponent of the power to which the base must be raised, to produce that number. Thus, 2 is the logarithm of 100 to the base 10 ; because ~2 is the exponent of the power to which 10... | |
 | Royal Military Academy, Woolwich - 1853 - 476 σελίδες
...on. But the best method of considering logarithms is derived from the following definition : — A logarithm of a number is the index of the power to which a given quantity must be raised so as to be equal to that number. Tims in the equation a* = n, x is... | |
 | Isaac Todhunter - 1858 - 530 σελίδες
...n, then x is called the logarithm of n to the • a; thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The logarithm of и to the base a is written logди; thus logдii = x expresses... | |
 | Richard Dunkley Beasley - 1858 - 144 σελίδες
...expressed x = loga N. Hence we obtain the following definition. The logarithm of a number to a given base, is the index of the power to which the base must be raised in order to be equal to the given number. 53. In the equation N= ax, let a be some constant quantity... | |
 | Isaac Todhunter - 1860 - 318 σελίδες
...n, then x is called the logarithm ofnto the base a; thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The logarithm of n to the base a is written logaw; thus logaw = x expresses... | |
 | Alfred Challice Johnson - 1865 - 166 σελίδες
...the one of the other. 45 CHAPTER V. On Logarithms. Def. — The logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number; thus, in the equation a" = N, a: is called the logarithm of N to the base a.... | |
 | John Walmsley - 1865 - 232 σελίδες
...the logarithm of N to the base a. Hence the Definition. — The logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the given number. For brevity's sake we write loga N for the words the logarithm of N to... | |
 | Thomas Kimber - 1865 - 302 σελίδες
...the base b is thus expressed, log.t N = p. The logarithm of a number, therefore, may be defined to be the index of the power to which the base must be raised, that the result may be equal to that number. 190. In Briggs's tables the base chosen is 10. In this... | |
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The logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number; thus, in the equation a* = N, x is called the logarithm of N to the base a. 
