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Suppose that log10(x-2)+log10y=0 sqrtx+s...

Suppose that `log_10(x-2)+log_10y=0` `sqrtx+sqrt(y-2)=sqrt(x+y)`.
If `x^(2t^2-6)+y^(6-2t^2)=6`,, the value of `t_1,t_2,t_3,t_4` is

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