Question

resolva a equação exponencial: 9ˣ - 9ˣ⁻¹ = 1944

Answer 1

$(9 - 1) \times {9}^{x - 1} = 1944 \\ 8 \times {9}^{x - 1} = 1944 \\ {9}^{x - 1} = \frac{1944}{8} \\ {9}^{x - 1} = 243 \\ {3}^{2x - 2} = {3}^{5} \\ 2x - 2 = 5 \\ 2x = 5 + 2 \\ 2x = 7 \\ x = \frac{7}{2} \\ x = 3.5$