Answer:
x=-10/3
Step-by-step explanation:
[tex]81=27^{-x-2} \\\\81=9^2=(3^2)^2=3^4\\\\27=9*3=3^3\\\\3^4=(3^3)^{-x-2}\\\\3^4=3^{3(-x-2)}\\\\3^4=3^{-3x-6}[/tex]
as you see the bases are the same so the exponents must be the same too
[tex]4=-3x-6\\\\4+6=-3x\\\\10=-3x\\\\x=\frac{-10}{3}[/tex]
