# Do you know logarithmic rules?

Algebra Level 2

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?

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