method applicable to natural logarithms if the above log is first divided by the 

 modulus, 0.43429,44819,03251, from the formula In N=(\/p) log N where 

 p = 0A3429, .... This gives a result of 0.0^M265,38921,434517 which is the 

 In l.O^^XXXX . . . , the fourth factor. Comparison with the procedure used 

 in the example for natural logarithms verifies that the value for In l.O^^XXXX 

 , . .= 1.0"1265,38921,435 + 0.0-*8= 1.0^4265,38921,435. Therefore e= (2.717) 

 (1.0H717) (1.0^8077) (1.0"1265,38921,435) =2.71828,18284,59045,23536,03. 

 This result is correct for 23 significant digits. 



It is interesting to note that the tabular value nearest the given log is the 

 log 2718 rather than 2717. Furthermore, the log 2716 could also be used and 

 the series derived from use of this tabular value could serve as a check on the 

 previous work, 



E. R. Epperson. 

 Miami University, 



Oxford, Ohio, 



June 24, 1951. 



