Answer:
x = 2
Step-by-step explanation:
[tex]16^{3x} = 8^{x+6} \\2^{4(3x)} = 2^{3(x+6)} -->[/tex] (16 = [tex]2^{4}[/tex] and 8 = [tex]2^{3}[/tex] )
[tex]2^{12x} = 2^{3x+18}[/tex]
Since the base number is 2, the exponents must equal each other.
So:
12x = 3x+18
9x = 18
x = 2
