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Ajit Siddharth Grade:
         If x and y and are positive numbers connected by the relation y = ax²/(x-a) (x-b) (x-c) + bx/(x-b) (x-c) + c / (x-c) + 1 then prove that log y = 3log x-log | x-a|- log | x-b|- log | x-c|

for any valid base of logarithms.
6 years ago

Answers : (1)

Prudhvi teja
83 Points
										


Daer ajit


simplify the equation


y = ax2+ bx(x-a)+c(x-a)(x-c)/(x-a)(x-b)x-c) +1


ax2+ bx(x-a)+c(x-a)(x-c =x3- (x-a)(x-b)(x-c)+1


y=x3/(x-a)(x-b)(x-c) -1+1


so


log(y) = 3log x-log | x-a|- log | x-b|- log | x-c|



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Prudhvi Teja


 


 



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6 years ago
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