Answer
$\dfrac{11}{3}$
Work Step by Step
$\because y=\log_a x \text{ is equivalent to } x= a^y$
$\therefore 2 = \log_3 {(3x-2)} \text{ is equivalent to } 3x-2=3^2$
Solve the equation to obtain:
$$3x-2=3^2$$
$$3x-2=9$$
$$3x=11$$
$$x=\dfrac{11}{3}$$
