Логарифмы [latex]128^{log_{0,5} \sqrt[7]{10}}[/latex]

[latex]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[/latex]