Question

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3ˣ⁻1 -3ˣ +3ˣ+1 +3ˣ⁺²=360

Answer 1

${3}^{x - 1} - {3}^{x} + {3}^{x + 1} + {3}^{x + 2} = 360 \\ {2}^{2} + {3}^{2} + 5 = {3}^{2} + {3}^{2} \\ {3}^{x - 1} - {3}^{x} + {3}^{x + 1} + {3}^{x + 2} = {3}^{2} + {3}^{2} \\ x + 1 - x + 1 + x + 2 = 2 + 2 \\ 2x = 2 \\ x = 1$