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Algebra Level 4

log2(1+4x)+log2(14x+4)=2log2(2x11) \large\log^2\left(1+\dfrac 4x\right)+\log^2\left(1-\dfrac{4}{x+4}\right)=2\log^2\left(\dfrac{2}{x-1}-1\right)

How many real solutions does the above equation have?

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