[See Steps] Solve for x and check for extraneous solutions:
Question: Solve for x and check for extraneous solutions:
\[\mathrm{lo}{{\mathrm{g}}_{\mathrm{2}}}\mathrm{x}+\mathrm{lo}{{\mathrm{g}}_{\mathrm{2}}}\mathrm{(x}+\mathrm{2)}=\mathrm{3}\]
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