We can use the quotient rule of logarithms to separate this into two separate logarithms. The quotient rule states that $\log_b \frac{M}{N} = \log_b M - \log_b N$. Applying this rule, we get:
$$
\log _{a} \frac{\sqrt[3]{x}}{\sqrt[4]{y z}} = \log_a \sqrt[3]{x} -
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