Question 77

$$x^{x\sqrt{x}} = (x\sqrt{x})^{6x} \Rightarrow x =$$

Solution

given that

$$x^{x\sqrt{x}} = (x\sqrt{x})^{6x}$$

when base are same power will be equal

X^3x\2 = (x^3\2)^6x

x^3\2 = (3\2)6x

x = 81 Answer

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