...these numbers ; this would be a table of logarithms. We define the logarithm of a number therefore, the exponent of the power, to which it is necessary to raise a given or invariable number, in order to produce the proposed number. Thus in the equation a* = y, xk...

...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 number may...

...numbers; we shall then have an idea of a table of logarithms. We generally call the logarithm of a number the exponent of the power to which it is necessary to raise a certain invariable number, in order to produce the first number. The invariable number may at first...

...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, except 1, may be taken...

...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, except 1, may be taken for...

...shall give a tolerably full exposition of the THEORY OF LOGARITHMS. 43. The logarithm of any given number is the exponent of the power to which it is necessary to raise some particular number in order to produce the given number. Thus, let 10 be the number raised to the...

...from that of the dividend in order to obtain that of the quotient. i— i' - n ~~n' Since I — I1 is the exponent of the power to which it is necessary to raise a the base, in order to produce — it follows tn - —•-*• •.•*-:'•""" ft that I — I1 is...

...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, except 1, may be taken...

...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, a denote the base...

...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 =...