Question

x^√x=√x^x what is value of x

Answer 1

${x}^{ \sqrt{x} } ={ \sqrt{x} }^{x} \\ {x}^{ \sqrt{x} } = {x}^{ \frac{x}{2} } \\ \sqrt{x} = \frac{x}{2} \\2 x = {x}^{2} \\ x = 2$
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