Let x and y be two positive real numbers such that: log_x y+log_y x = 3
Find the value of: log_x y^2 + log_y x^2
\(\log_x(y^2) + \log_y(x^2) = \\ 2 \log_x(y) + 2\log_y(x) = \\ 2( \log_x(y) + \log_y(x) ) = \\ 2 \cdot 3 = 6\)
