3/8 ALGEBRA. 



As '098451 : •! : : '002689 : 0*00273 

 Which correction^ taken from 3*60000 



Leaves 3'59727ZiAr nearly. 



On trial, this is found to be very little too smalL 

 Take therefore again A'=i:3'59727, and next A:zr3'597285. 

 and repeat the operation as follows : 



First, suppose x zr 3*59727. 

 Logarithm of 3*59727 is 0*5559731 



3*59727 X log. of 3-59727= 1-9999854 

 The true number 2*0000000 



Error, too little, — 0*0000146 



Second, suppose Am 3*59728. 

 Logarithm of 3*59728 is j^o 5559743 

 3-59728 X log. of'3-5972811: 1-9999953 

 The true number 2*0000000 



Error, too little, —0*0000047 



— 0*0000146 

 -—0*0000047 



0*0000099 difFerence of the errors. Then, 



As -OC00099 • 'ooooi :: -0000047 : 0*00000474747 

 Which correction, added to 3*59728000000 



Gives nearly the value of x zz 3*59728474747 



5. To find the value of x m the equation .v ^ -}- 1 c»v ' -}- 

 5a;iz26oo. /ins. /vzz 1 1-0067 3. 



6. To find the value of >: in the equation x"^ — 2X=:^. 



• Ans. 2*004551. 



7. To 



