Question

Логарифмы $128^{log_{0,5} sqrt[7]{10}}$

Answer 1

$128^{log_{0,5} sqrt[7]{10} } = 2^{7log_{0,5} sqrt[7]{10} } = 2^{7* frac{1}{7} log_{ frac{1}{2} }10 } = 2^{-log_{2}10 } = 2^{log_{2} frac{1}{10} } = frac{1}{10} =0,1$