Solve log⁡3(x+∣x−1∣)=log⁡9(4x−3+4∣x−1∣).\log_3(\sqrt{x} + |\sqrt{x} - 1|) = \log_9(4\sqrt{x} - 3 + 4|\sqrt{x} - 1|).

Problem

Solve log⁡3(x+∣x−1∣)=log⁡9(4x−3+4∣x−1∣).\log_3(\sqrt{x} + |\sqrt{x} - 1|) = \log_9(4\sqrt{x} - 3 + 4|\sqrt{x} - 1|).

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