First, we can rewrite the square root as an exponent:
$$
\log_3{x^{\frac{1}{2}}} - \log_3{x^3}
$$
Now, we can use the logarithm subtraction rule, which states that $\log_a{b} - \log_a{c} = \log_a{\frac{b}{c}}$:
$$
\log_3{\frac{x^{\frac{1}{2}}}{x^3}}
$$
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