70 



METHOD OF RAISING 



the laft divifor by the lafl: quotient raifed to its proper power, 

 and proceed in this manner until a fufficicnt number of divi- 

 lions are made, which will be when the quotient approaches 

 nearly to unity. Make a compound fraftion, taking the fuc- 

 celTive indexes of the powers you divide by for denominators 

 and unity for numerators. Reduce this compound fraftion to 

 a fimple one, and that by divifion to a decimal fraftilon, which 

 together with the index firft found (if any) will be the logarithm 

 required. 



Example of the Calculation. 



Required the Logarithm of 99. 



99 



Divided by 10 



10 



Divided by 9.9 



pr: 9.9. Here I is the indei. 



r= i.oioioi ■=.a. 



aa-=. 1.020304 



20406 



306 



1.041020 



41641 



1041 



a' = 1-083723 



86698 



3251 



759 



Firfl quotient, 9.9 



Divided by a' * ' = 9.88952 



Divided 



a= 1.0101017 _-f_ 

 by h^ — 1. 009570 J 



1.009570 

 1.000526 

 526 



.000531 

 505 



26 



«•* = 1.001052 



Cahulat'toa 



