Question

Equação exponencial
2^x2 -5x =1\64

Answer 1

$2^{x^{2}-5x}= \frac{1}{64} \\ \\ 2^{x^{2}-5x}= \frac{1}{2^{6}} \\ \\ 2^{x^{2}-5x}= 2^{-6} \\ \\ x^{2}-5x = -6 \\ \\ x^{2}-5x + 6 = 0 \\ \\ D = (-5)^{2}-4(1)(6) \\ \\ D = 25 - 24 = 1 \\ \\ \sqrt{D} = \sqrt{1} =1 \\ \\ x' = \frac{5 + 1}{2} = \frac{6}{2} =3 \\ \\ x'' = \frac{5-1}{2} = \frac{4}{2} = 2$

Espero ter ajudado.