« PreviousContinue »
1. LOGARITHMS of numbers are the indices that denote tho different powers to which a given number must be raised to produce those numbers.
2. If a be the given number, whose indices and powers are to be considered, then a£* being put equal to n, a, the given
number, or root, is called the base of the system of logarithms, Sin the number whose logarithm is considered, and Ex, the logarithm of that number.
3. Any number, except 1, may be taken for the base of a
tions, because 10 is the base of the common numeration, both in
4. Taking a +=n, we have, Ex==log. n; and putting a+=
5. If the equations aʻ=n, a!=m, be divided, member by meniber, ; or at
In this expression, x-y is the
logarithm of (2); from which we conclude, that the difference of the logarithms of any two numbers, is equal to the logarithm of their quotient.