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Prove that the equation x^(log(sqrtx^(2x...

Prove that the equation `x^(log_(sqrtx^(2x)))=4` has no solution.

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To prove that the equation \( x^{\log_{\sqrt{x}}(2x)} = 4 \) has no solution, we will follow these steps: ### Step 1: Rewrite the equation We start with the given equation: \[ x^{\log_{\sqrt{x}}(2x)} = 4 \] ...
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