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![\log_3[\log2(\log_2x)]=1 \\ \\ \log_2(\log_2x)=3^1 \\ \\ \log_2(\log_2x)=3 \\ \\ \log_2x=2^3 \\ \\ \log_2x=8 \\ \\ x=2^8 \\ \\ x=256](https://tex.z-dn.net/?f=%5Clog_3%5B%5Clog2%28%5Clog_2x%29%5D%3D1+%5C%5C++%5C%5C+%5Clog_2%28%5Clog_2x%29%3D3%5E1+%5C%5C++%5C%5C+%5Clog_2%28%5Clog_2x%29%3D3+%5C%5C++%5C%5C+%5Clog_2x%3D2%5E3+%5C%5C++%5C%5C+%5Clog_2x%3D8+%5C%5C++%5C%5C+x%3D2%5E8+%5C%5C++%5C%5C+x%3D256 "\log_3[\log2(\log_2x)]=1 \\ \\ \log_2(\log_2x)=3^1 \\ \\ \log_2(\log_2x)=3 \\ \\ \log_2x=2^3 \\ \\ \log_2x=8 \\ \\ x=2^8 \\ \\ x=256")
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