[tex]\bf 8. \\ \\ \it a)\ 2^{x+3}=64 \Rightarrow 2^{x+3}=2^6 \Rightarrow x+3=6 \Rightarrow x=3\\ \\ b)\ \ (-3)^{x-2}=-27 \Rightarrow (-3)^{x-2}=(-3)^3 \Rightarrow x-2=-3|_{+2} \Rightarrow x=-1\\ \\ c)\ \ \Big(\dfrac{7}{2}\Big)^{x-3}=1 \Rightarrow x-3=0 \Rightarrow x=3[/tex]
