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if, b= Logy^xyz a= Logx^xyz c=Logz^xyz prove that, (x^(a-1)/yz)+ (y^(b-1)/zx) +(z^(c-1)/xy)=3

if, 
b= Logy^xyz
a= Logx^xyz 
c=Logz^xyz 
prove that, (x^(a-1)/yz)+ (y^(b-1)/zx) +(z^(c-1)/xy)=3

Grade:10

1 Answers

Ashutosh Mohan Sharma
askIITians Faculty 180 Points
7 years ago
[x^(a-1)/(y z)+y^(b-1)/(z x)+z^(c-1)/(x y) = 3]
[(x^a+y^b+z^c)/(x y z) = 3]

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