

LOGARITHMS. 



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JuOGARITHMS are numbers 60 contrive!, and adapt- 

 ed to other numbers, that the sums and differences of 

 the former shall correspond to, and shew, the products 

 and quotients of the latter. 



Or, logarithms are the numerical exponents of ratios ; 

 or a series of numbers in arithmetical progression, an- 

 swering to another series of numbers in geometrical 

 progression. 



'hus 



C o, I, 2, 3, 4, 5, 6, indices, or logarithm*. 



^ I, 2, 4, 8, 16, 32, 64, geometric progression. 



Qj. ^^y ^3 2, 3, 4, 5, 6, indices, or logar, 



C ^> 3j 9j 27, 8 1, 243, 729, geometric progress. 



Q^ ^o> i> 2, 3, 4, 5, ind. orlog. 



(^ I, 10, 100, 1000, loooo, icocooj gcom. prog. 



Where it is evident, that the same indices serve ecpi Jlv 

 t<'r any geometric series ; and consequently there may be 

 an endless variety of systems of logarithms to the sam-j 

 cnmmon numbers, by oidv cliangiiig the seCoivd term 2, 3, 



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