Show that xlogy-log z vlog z-log x ...
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Show that xlogy-log z vlog z-log x log x-logy =1

JEE/Engineering Exams
Maths
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Let ( u=x ) ( y_{3} log 3-log x_{3} log x-log ) Tale legarithm ou both sides, ( log u=(log y-log 3) log x+left(log _{-} log xright) log y ) ( +(log x-log y) log _{2} ) ( Rightarrow log u=log _{x} log y-log _{x} log _{2}+log _{log x log _{2}} log _{3}-log x log y ) ( +quad log _{y} log _{ } ) ( Rightarrow log u=0 ) ( Rightarrow quad u=1 ) ( Rightarrow quad x^{log y-10 y_{0}} y^{ln 83-log _{2}} 3^{log x-log y}=1 ) Penes, proved.
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