Exponents and number of solutions: ACT Math Practice Question

Try the following ACT math practice question that tests your understanding of exponents and finding the number of solutions of an equation.

Let $n$ be the number of integer values of $x$ such that the below equation is true.
$$4^{3x-2} = 8^{2x-1}$$
Then $n$ is:

1. $\quad 0$
2. $\quad 1$
3. $\quad 2$
4. $\quad 3$
5. $\quad \textrm{Infinite}$

Choice A

Video Explanation