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1log4(x+1x+2)<1log4(x+3) \dfrac{1}{\log_{4}\left(\dfrac{x+1}{x+2}\right)}<\dfrac{1}{\log_{4}(x+3)}log4(x+2x+1)1<log4(x+3)1
If the range of xxx that satisfy the equality above is (a,∞)(a,\infty)(a,∞), find the value of aaa.
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