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Question
- \log \sqrt3{x \cdot y \cdot z}
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 \(\log{(x\cdot y\cdot z)^{\frac{1}{3}}}\).
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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 \(\log{(x\cdot y\cdot z)^{\frac{1}{3}}}\).