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If x,y,z >0 and\ln x+\ln y+\ln z=0,then show that x^{1/\ln y +1/\ln z}.y^{1/\ln x +1/\ln z}.z^{1/\ln x+1/\ln y}=e^3 where \ln x=\log_ex.

Answer» If x,y,z >0 and\ln x+\ln y+\ln z=0,then show that x^{1/\ln y +1/\ln z}.y^{1/\ln x +1/\ln z}.z^{1/\ln x+1/\ln y}=e^3 where \ln x=\log_ex.


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