x^{x\sqrtx} = (x\sqrtx)^x ⇒ x = ...

TS ICET 23 May 2019 Shift 2 Paper

Question : 77 of 200

Marks: +1, -0

x^{x√x}

(x√x)^x

⇒ x = ...

Solution:

x^{x √{x}}=(x √{x})^{x}

x^{x^{\;{3}/{2}}}=x^{\;{3}/{2} x}

x^{\;{3}/{2}}=\;{3}/{2} x ⇒ x^{\;{1}/{2}}=\;{3}/{2} ⇒ x=\;{9}/{4}

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