DESCRIPTION AND USE OF THE TABLE. 25:3 



If the number consist both of integers ?.nd frnctlonr,, or 

 be entirely fractional, find the decimal part of the logar- 

 ithm, as if all its figures were integral ; then this, the 

 proper characteristic being prefixed, will give the logarithm 

 required. 



And if the given number be a proper fraction, subtract 

 the logarltlmi of the denominator from tlie logarithm of 

 the numerator, and the remainder will be the logarithm 

 nought ; which, being that of a decimal fraction, must al- 

 ways have a negative index. 



But if it be a mixed number, reduce it to an improper 

 fraction, and find the difR:rcnce of the logarithms of the 

 jiumciator and denominator, in the same manner as before. 



exa:.iples. 



I. To find the logarithm of |-|. 



Logarithm of 37 1*5682017 



Logarithm of 94 ^'913^^19 



DifF. log. of A{- —1.-^-0738 



YV"here the index i is negative. 



2. To find the logarithm of i y4-j. 

 First, i7fi = VV- Then, 

 Logarithm of 405 2*6074556 



Logarithm of 23 1*3617278 



IP iff. log. of I7{-1 1*2457272 



II. Tq fi>,'d, in the Table, the natural Nltmeer to 

 ANY Logarithm. 



This is to be found by the reverse method to the former, 

 aamely, by searching for the proposed logarithm among 

 those in the table, and taking out the corresponding num- 

 ber 



