Solve for the real numbers $(🥑,🍓,🍌)$ of the following system of equations:

\[\begin{cases}\log_9{🥑} + \log_9{🍓} + \log_3{🍌} = 2 \\ \log_{16}{🥑} + \log_{4}{🍓} + \log_{16}{🍌} = 1 \\ \log_{5}{🥑} + \log_{25}{🍓} + \log_{25}{🍌} = 0\end{cases}\]