For this case we must solve the following equation:
[tex]4^{3x} = 4 ^ 2[/tex]
By definition, for the bases to be equal then the exponents must also be the same. Thus, we have to:
[tex]3x = 2[/tex]
Dividing by 3 to both sides of the equation we have:
[tex]x = \frac {2} {3}[/tex]
Answer:
[tex]x = \frac {2} {3}[/tex]
