[tex]\displaystyle\bf\\8^x=2^{x-2}\\\\\Big(2^3\Big)^x=2^{x-2}\\\\2^{3x}=2^{x-2}\\\\3x=x-2\\\\3x-x=-2\\\\2x=-2\\\\x=\frac{-2}{2}\\\\\boxed{\bf x=-1}[/tex]
Răspuns:
Explicație pas cu pas:
8 = 2^3
8^x = (2^3)^x = 2^3x
2^3x = 2^(x - 2)
3x = x - 2
3x - x = -2
2x = -2
x = -2 : 2 = -1
