Do you know logarithmic rules?

Algebra Level 3

Let $a$ and $b$ be two positive numbers different from 1, such that $a^{3}\not =b^{2}$ , and $x=\log_{\frac{a^3}{b^2}}{\frac{b}{a}}$ . Then, which of the following expressions is $a^{3x+1}$ equal to?

b^{x}

b^{2x-1}

e^{x*y}

1

a*b

b^{2x+1}