Question

2 elevado a X -4=1/4

Answer 1

2^x-4=1/4
2^x-4=1/2^2
2^x-4=2^-2
Eliminando as bses 2, teremos:
x-4= -2
x= -2+4
x=2

Answer 2

${2}^{x - 4} = \frac{1}{4} \\ \\ {2}^{x - 4} = {2}^{ - 2} \\ \\ x - 4 = - 2\\ \\ x = - 2 + 4 \\ \\ x = 2$