Tìm x biết ​\({3^{3x}} + {3^{3x + 2}} = 7290\)

* Hướng dẫn giải

 \(\begin{aligned} &{3^{3x}} + {3^{3x + 2}} = 7290\\ &{3^{3x}} + {3^2}{.3^{3x}} = 7290\\ &{3^{3x}} + {9.3^{3x}} = 7290\\ &\left( {1 + 9} \right){.3^{3x}} = 7290\\ &{10.3^{3x}} = 7290\\ &{3^{3x}} = 729\\ &{3^{3x}} = {3^6}\\ &3x = 6\\ &x = 2 \end{aligned}\)