[ 425 ] 



*f = 19995 Log 4. 30092 14084 6954 The logarithm of thera- 



j^+5=2oooo 4,30102999566398 tioof a:".^-|-5]': x- i. 



XX x+^ 8,60195140413352 '^ + 2. ^-1-3. .^'4-6 



. ^ 



x'xx+c^' 17,20390280826704 y 



4- &c. But y 



^• ^'•^ + - l--i,i.e. 



«•— 1 = 19994 4, 30089 96877 7225-j 36 



a . o c r . . I \n this inftance 88844 



X 4- 3 = 19998 4,30098656404417!. ^"^ 



^.4-6=20001 4,30105 17098 4522J ^++99 99999 9--So 



that the logarithm of 



12,90293796166164 ^^^ ^^^j^ ^jii be lefs 



^.+ 2= 19997 Log. 4, 30096 48466 05^ than lauit of the fix- 



teenth placeof decimals. 



The computation of the logarithms of fmall numbers may be 

 rendered more expeditious if, inftcad of attempting immediately 

 to find the logarithm required, by the application of any of the 

 preceding methods as they arc above exemplified, wc feek the 

 logarithm of fuch a multiple of the given number, as fliall not 

 have any of its prime fadors greater than that number — with the 

 fame limitation alfo, on the numbers which arc concerned iti com- 

 puting the logarithm of this multiple. 



Vol. VI. 3 H E. G. If 



