...1830. INTRODUCTION. OF LOGARITHMS. THE LOGARITHMS of numbers are the exponents of the different powers to which a constant number must be raised, in order to be equal to those numbers ; the principles, therefore, which apply to exponents in general, apply to logarithms....

...proportion, and ¿piO^j, number). " The logarithms of numbers are the exponents of the different powers to which a constant number must be raised, in order to be equal to those numbers ; the principles, therefore, which apply to exponents in general, apply to logarithme."...

...proportion, and арв^, number). " The logarithms of numbers are the exponents of the different powers to which a constant number must be raised, in order to be equal to those numbers ; the principles, therefore, which apply to exponents in general, apply to logarithms."...

...raise an'tnvariable number, to form all these numbers, an idea will be had cf a table of logarithms. The logarithm of a number, is the exponent of the power, to which it is necessary to raisj a certain invariable number, in order to produce the first number. The invariable...

...invariable number, to form all these numbers, an idea will be had of a table of logarithms. Hence, The logarithm of a number, is the exponent of the power to which it is necessary to raise a certain invariable number, in order to produce thefirst number. Any number,...

...invariable number, to form all these numbers, an idea will be had of a table of logarithms, Hence, The logarithm of a number, is the exponent of the power to which it is necessary to raise a certain invariable number, in order to produce thefrst number. Any number,...

...invariable number, to form all these numbers, an idea will be had of a table of logarithms. Hence, The logarithm of a number, is the exponent of the power to which it is necessary to raise a certain invariable number, in order to produce thefirst number. Any number,...

...by Jlf, a"=M Thus, if we make m=0, M will be equal to 1; if wi=l, M will be equal to 10, &.C. Hence, The logarithm of a number is the exponent of the power to which it is necessary to raise the base of the system in order to produce the number. 1 76. Letting, as before,...

...Tables of logarithms in common use, are constructed upon the number 10 as a base. Hence, The common logarithm of a number, is the exponent of the power to which 10 must be raised, in order to produce that number. Thus, 3 is the logarithm of 1000, because 103 =...

...of that number ; and the invariable number a is called the bose of that system of logarithms. Hence, The logarithm of a number, is the exponent of the power to which it is necessary to raise an invariable number, called the base of the system, in order to produce the...