a=b to the power 2x, b=c to the power 2y, c=a to the power 2x, then value of xyz solve it
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Given a=b 2x (1)
b=c 2y(2)
c=a 2x(3)
Substituting the value of b from (2) in (1),
Substituting the value of b from (2) in (1),we get
a=(c 2y ) 2x=c4xy(4)
Substituting the value of c from (3) in (4),
Substituting the value of c from (3) in (4),we get
a=(a 2z)4xy=a 8xyz
or a 1=a 8xyz⟹ xyz= 1
8
then the value of xyz is 1
8
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