If 1, log(10)(4^(x)-2) and log(10)(4^(x...

If `1, log_(10)(4^(x)-2) and log_(10)(4^(x)+(18)/(5))` are in arithmetic progression for a real number x, then the value of the determinant `|(2(x-(1)/(2)), x-1,x^(2)),(1,0,x),(x,1,0)|` is equal to:

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