If \( x=\log _{2 a} a ; y=\log _{3 a} 2 a ; z=\log _{4 a} 3 a \), then prove that \( x y z+1=2 y...

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If `x=log_(2a) a,y=log_(3a) 2a ` and `z=log_(4a) 3a` then prove that `xyz+1=2yz` If `x=log_(2a) a,y=log_(3a) 2a ` and `z=log_(4a) 3a` then prove that `xyz+1=2yz`
If log_(2a)a= X, log_(3a)2a = Y, and log_(4a)3a = Z, then Prove that XYZ+1=2YZ If log_(2a)a= X, log_(3a)2a = Y, and log_(4a)3a = Z, then Prove that XYZ+1=2YZ
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