Log X + Log(2x + 3) = Log 2
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Logs added means log of the product of the arguments: log(x(2x+3))=log2. If logA=logB, then A=B, so x(2x+3)=2. 2x^2+3x-2=0 and (2x-1)(x+2)=0. So x=1/2 or -2.

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