Answer:x = [tex]\frac{1}{3}[/tex]Step-by-step explanation:Using the rule of exponents[tex]a^m^{n}[/tex] = [tex]a^{mn}[/tex]Note that 8 = 2Β³ and 2 = [tex]2^{1}[/tex], then[tex](2^3)^{x}[/tex] = [tex]2^{1}[/tex], that is[tex]2^{3x}[/tex] = [tex]2^{1}[/tex]Since the bases on both sides are equal, equate the exponents3x = 1 ( divide both sides by 3 )x = [tex]\frac{1}{3}[/tex]