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easy system of equations

Source: Romanian District Olympiad 2015, Grade X, Problem 2

September 25, 2018
algebrasystem of equationsexponential equations

Problem Statement

Solve in Z \mathbb{Z} the following system of equations: {5x−log⁡2(y+3)=3y5y−log⁡2(x+3)=3x. \left\{\begin{matrix} 5^x-\log_2 (y+3) = 3^y\\ 5^y -\log_2 (x+3)=3^x\end{matrix}\right. .
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