Question

equação exponencial 2^4x-x^2=8​

Answer 1

$2 {}^{4x - x {}^{2} } = 8 \\ \\ 2 {}^{4x - x {}^{2} } = 2 {}^{3} \\ \\ 4x - x {}^{2} = 3 \\ \\ - x {}^{2} + 4x - 3 = 0 \\ \\ \Delta = (4) {}^{2} - 4. - 1. - 3 \\ \Delta = 16 - 12 \\ \Delta = 4 \\ \\ x1 = \frac{ - 4 + 2}{ - 2} \\ x1 = \frac{ - 2}{ - 2} \\ x = 1 \\ \\ x2 = \frac{ - 4 - 2}{ - 2} \\ x2 \frac{ - 6}{ - 2} \\ x2 = 3$