Question

What can I do?
please help

Answer 1

`\log_( √(2) ) \left(\cfrac{ \sqrt[5]{4} }{8\cdot √(2) }\right) \\ \\ \\ = \log_{2^{ (1)/(2) }} \left(\cfrac{ 2^{ (2)/(5) }}{2^3\cdot 2^{ (1)/(2) } }\right) \\ \\ \\ = \log_{2^{ (1)/(2) } }\left( \cfrac{ 2^{ (2)/(5) }}{2^{ (7)/(2) } }\right) \\ \\ \\ = \log_{2^{ (1)/(2) } }\left(2^{- (31)/(10) } \right) \\\\\\ = - \cfrac{31}{10}: \cfrac{1}{2} \cdot \log_2(2) \\\\\\ =- \cfrac{31}{5} \cdot1 \\\\\\ =- \cfrac{31}{5}`