KöMaL 2019 C1545

Find the real solutions of $\begin{align*} x^2-y^2 & =\log_2 \frac yx,\\ 3^{x^2+y^2-1}-4\cdot3^{xy}+9 & =0. \end{align*}$

Official text KöMaL. Quoted with source.

Solutions

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