Question

Помогите, логарифм!!!

Answer 1

$27^{1 - log_36} - 4^{-log_40,125} = frac{27}{27^{log_36}} - 4^{log_4(0,125)^{-1}} =\\=frac{27}{(3^3)^{log_36}} - (0,125)^{-1} = frac{27}{3^{3log_36}} - (frac{1}{8})^{-1} = frac{27}{3^{log_36^3}} - 8 = \\= frac{3^3}{6^3} - 8 =frac{3^3}{(2*3)^3} - 8 =frac{1}{2^3} - 8 = frac{1}{8} - frac{64}{8} = boxed{-frac{63}{8}}$