[tex] log_{2}x+ log_{4}x+ log_{8}x=11 \\ x\ \textgreater \ 0 \\ log_{2}x+ log_{2} \sqrt{x} + log_{2} \sqrt[3]{x} =11 \\ log_{2}x* \sqrt{x} * \sqrt[3]{x}= log_{2} 2^{11} \\ x* \sqrt{x} * \sqrt[3]{x} = 2^{11} \\ x^{ \frac{11}{6} }= 2^{11 } /()^6\\ x^{11}= 2^{66} \\ x= \sqrt[11]{ 2^{66} } \\ x= \sqrt[11]{ (2^{11})^6 } \\ x=2^6 \\ x=64[/tex]
