Show that : (yz)^(logy-logz)×(zx)^(logz-logx)×(xy)^(logx-logy) = 1

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If x, y, z are positive real numbers prove that (yz)^(logy-logz)*(zx)^(logz-logx)*(xy)^(logx-logy)=1 If x, y, z are positive real numbers prove that (yz)^(logy-logz)*(zx)^(logz-logx)*(xy)^(logx-logy)=1
If logx/(y-z) = logy/(z-x) = logz/(x-y) then prove that xyz = 1 | IITJEE Foundation Maths If logx/(y-z) = logy/(z-x) = logz/(x-y) then prove that xyz = 1 | IITJEE Foundation Maths
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Prove that x^(logy-logz).y^(logz-logx).z^(logx-logy)=1 civil first semester imp Quection @enote #vir Prove that x^(logy-logz).y^(logz-logx).z^(logx-logy)=1 civil first semester imp Quection @enote #vir
If `(log x)/(y-z)=(logy)/(z-x) =(logz)/(x-y)`, then prove that: `x^x y^y z^z=1` If `(log x)/(y-z)=(logy)/(z-x) =(logz)/(x-y)`, then prove that: `x^x y^y z^z=1`
If x(y+z-x)/logx=y(z+x-y)/logy=z(x+y-z)/logz then prove that x^y.y^x=z^y.y^z=x^z.z^x. If x(y+z-x)/logx=y(z+x-y)/logy=z(x+y-z)/logz then prove that x^y.y^x=z^y.y^z=x^z.z^x.
Prove that x^(logy-logz).y^(logz-logx).z^(logx-logy)=1 | CLASS 12 | LOGARITHM | MATHS | Doubtnut Prove that x^(logy-logz).y^(logz-logx).z^(logx-logy)=1 | CLASS 12 | LOGARITHM | MATHS | Doubtnut