LOGABITHlfB. xxxv 



and a positive mantissa; in the second form it consists of a positive 



Inn (both cli, !< and mantissa) followed by a in-., 



ehara 



No new procedu: \ , but it is essential to be onus: 



f each part, and to remember that botli parts must be 



iy operation performed upon cither. Whenever the 



nt has m<>re than one figure, tin- negative characteristic and 



>iti\c mantissa should be separately multiplied by the index. 



and tin- former subtracted 1'roiu the latter. 



Example. I K -.sired (o.oo 47i6) 4 . 



log o.oo 47 1 6 = 3.6735 or 7.6735-10 



Multiply by 4 4 



10.6940 or 30.6940 40, or 0.6940 10 



.-. (o.oo 4716)* = number corresponding, or antilog, 

 = 4.943. i o~ 10 or o.oo ooo ooo 049 43. 



Example. Desired (o.oo 471 6) 4 :: -. 



11.9495 11.9495 



.-. (o.oo 47 1 6) 432 = 2.962-IO" 11 . 



Roots of Decimal Fractions.- u-t the root of a dn -imal 



ii. divide separately the ; ;istie and the posi- 



tive mantissa by the index of tl - 1 root Subtract the former 



from the latter. Tin- difference will be the logarithm ot 

 the desired root. In other \vm the characteristic .separate 



from the logarithm. This pn.c.-dure is always the safest to adopt 

 then- is any doubt in the mind of the computer. 



Example. Desired \^o.o6 831. 



log 0.06 831 = 2.8345 



haracteristic by 3 = - 06667 



Dividing mantissa 3= 02782 



'KVo.o683i= T.6iis 



^0.06831 = number corresponding = 4.088 -lo' 1 . 



