Logarithms. 209 



24. KxAMPi^ES IN Multiplication. 



/. Log 327.45=2.5151450 and log 79.493=1.9003839; find 

 the product of 327.45 X 79.493. 



2. Log .53927=1.7318063 and log 4.7655=0.6781085 : find 

 the product of .53927 X 4.7655. 



J. Log 6.3274=0.8012253 and log 1645.6=3.2163243 ; find 

 the product of 6.3274 x 1645.6. 



25. Examples in Division. See Art. 8. 

 /. Find the quotient of 327.45 by 1645.6. 



From a table of logarithms we find 



Iqg 327.45= 2.5151450 



log 1645.6= 3.21 63243 



log 327.45^1645.6=1.2988207 

 It is seen from a table of logarithms that the number corre- 

 sponding to the logarithm 1.2988207 is .19901+ Therefore 

 327:45-^ 1645.6= . 19901 + 



2. Log 53.927=1.7318063 and log 2.0724=0.3164736; find 

 the quotient of 53. 927-^-2.0724. 



3- I^og 33333=4.5228744 and log 13001 = 4.1139768; find 

 the value off If tf 



/. Log 54321 = 4.7349678 and log 20.877 = 1.3196681 ; find 

 the value of 54321 H-20. 877. 



26. Examples in Involution. See Art. 9. 



1. Find the third power of 1373.3. 

 From a table of logarithms we find that 



log 1373-3=3.1377654 



3 



whence log (1373.3)^=9.4132962 



From the sample page it is seen that the number whose logar- 

 ithm is 9.4132962 equals 2590000000, nearly. Therefore 

 (1373.3)''= 2590000000, nearly. 



2. Find the fifth power of 1.9201, whose logarithm is 

 0.2833238. 



