Problem

Problem

Suppose that log⁡10(x−2)+log⁡10y=0\log_{10}(x-2) + \log_{10} y = 0 and x+y−2=(x+y)\sqrt{x} + \sqrt{y-2} = \sqrt{(x+y)}. If x2t2−6+y6−2t2=6x^{2t^2-6} + y^{6-2t^2} = 6, the value of t1t2t3t4t_1 t_2 t_3 t_4 is a. 1 b. 2 c. 4 d. 8

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