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Let G,O,E and L be positive real numbers...

Let G,O,E and L be positive real numbers such that log(G.L)+log(G.E)=3,log(E.L)+log(E.O)=4, log(O.G)+log(O.L)=5 (base of the log is 10)
If `log(G/O)` and `log(O /E)` are the roots of the equation

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