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The expression ( \log \left( \frac{x^2 \cdot y^3}{z^4} \right) ) can be simplified using logarithmic properties. It can be rewritten as ( \log(x^2) + \log(y^3) - \log(z^4) ). Further simplifying each term gives ( 2 \log(x) + 3 \log(y) - 4 \log(z) ). Thus, the final expression is ( 2 \log(x) + 3 \log(y) - 4 \log(z) ).

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2w ago

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