$$3^6 = 3^3+6$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 3^6 &= 3^3+6&& \text{simplify left and right hand side} \\[1 em]729 &= 27+6&& \\[1 em]729 &= 33&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 729 = 33 } $ is FALSE, we conclude that the equation has no solution.
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