Question

Решите ................ 8)

Answer 1

$16*(49^{frac{1}{2}log_{7}9-log_{7}6} + 5^{-log_{sqrt{5}}4}}}) = \\ = 16*(7^{log_{7}9-2log_{7}6} + frac{1}{5^{log_{sqrt{5}}4}}}}) = \\ = 16*(7^{log_{7}9-log_{7}6^{2}} + frac{1}{5^{log_{5^{frac{1}{2}}}4}}}}) = \\ = 16*(7^{log_{7}frac{9}{36}} + frac{1}{5^{2log_{5}4}}}}) = \\ = 16*(7^{log_{7}frac{1}{4}} + frac{1}{8}}}}) = \\ = 16*(frac{1}{4} + frac{1}{8}}}}) = 16 * frac{3}{8} = 6$