Question

a is not equal to + or- b and a+b is not equal to 1. then find (a^4-2a^2b^2+b^4)^x-1=(a-b)^2x (a+b)^-2

Answer 1

Answer:

Answer

$Answer</p><p></p><p>Open in answr app</p><p></p><p>(a4−2a2b2+b4)x−1=(a−b)2x(a+b)−2</p><p></p><p>Applying log on both the sides gives</p><p></p><p>(x−1)log(a4−2a2b2+b4)=2xlog(a−b)−2log(a+b)⇒(x−1)log(a2−b2)2=2xlog(a−b)−2log(a+b)⇒2(x−1)log(a2−b2)=2xlog(a−b)−2log(a+b)⇒2(x−1)(log(a+b)+log(a−b))=2xlog(a−b)−2log(a+b)⇒xlog(a+b)=log(a−b)⇒x=log(a+b)log(a−b)</p><p></p><p>$

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