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11) \\log \\sqrt3{x \\cdot y \\cdot z}

Question

  1. \log \sqrt3{x \cdot y \cdot z}

Explanation:

Step1: Convert radical to exponent

The cube root \(\sqrt[3]{x\cdot y\cdot z}\) can be written as \((x\cdot y\cdot z)^{\frac{1}{3}}\) using the property \(\sqrt[n]{a}=a^{\frac{1}{n}}\). So the expression becomes \(\log{(x\cdot y\cdot z)^{\frac{1}{3}}}\).

Step[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]

Answer:

Step1: Convert radical to exponent

The cube root \(\sqrt[3]{x\cdot y\cdot z}\) can be written as \((x\cdot y\cdot z)^{\frac{1}{3}}\) using the property \(\sqrt[n]{a}=a^{\frac{1}{n}}\). So the expression becomes \(\log{(x\cdot y\cdot z)^{\frac{1}{3}}}\).

Step[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]