log x + log(2x-1) =1

[tex] log(x) + log(2x - 1) = 1 \\ log(x(2x - 1)) = log(10) \\ 2 {x}^{2} - x = 10 \\ 2 {x}^{2} - x - 10 = 0 \\ (2x - 5)(x + 2) = 0 \\ x = \frac{5}{2} \\ x = - 2[/tex]
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