Solve log⁡2(4x+1+4)⋅log⁡2(4x+1)=log⁡1/2(18).\log_2(4^{x+1} + 4) \cdot \log_2(4^x + 1) = \log_{1/\sqrt{2}} \left( \frac{1}{\sqrt{8}} \right).

Problem

Solve log⁡2(4x+1+4)⋅log⁡2(4x+1)=log⁡1/2(18).\log_2(4^{x+1} + 4) \cdot \log_2(4^x + 1) = \log_{1/\sqrt{2}} \left( \frac{1}{\sqrt{8}} \right).

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