Answer:
x = 2
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex](2)^{3x}[/tex] = [tex]2^{3x}[/tex] and 8 = (2³ )² = [tex]2^{6}[/tex] , so
[tex]2^{3x}[/tex] = [tex]2^{6}[/tex]
Since the bases on both sides are equal, both 2, equate the exponents
3x = 6 ( divide both sides by 3 )
x = 2
