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JEE MainMathematicsEasyLogarithm

x(log⁡xa⋅log⁡ay⋅log⁡yz)x^{(\log_{x}a \cdot \log_{a}y \cdot \log_{y}z)} is equal to

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x(log⁡xa⋅log⁡ay⋅log⁡yz)=xlog⁡xz=zx^{(\log_{x}a \cdot \log_{a}y \cdot \log_{y}z)} = x^{\log_{x}z} = z

Source: Grass-G / M-16 Mathematics Paper 25 Nov First.docx

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