What is the answer to e^{xln(x)}=x^2 ?

The answer to e^{xln(x)}=x^2 is No Solution for x\in\mathbb{R}

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e^{xln(x)}=x^2

e^{x l n (x)} = x^{2}

No Solution for x \in R

Solution steps

e^{x l n (x)} = x^{2}

Take both sides of the equation to the power of

\frac{1}{2}

(e^{x l n (x)})^{\frac{1}{2}} = (x^{2})^{\frac{1}{2}}

Simplify

(e^{x l n (x)})^{\frac{1}{2}} : (x^{x})^{\frac{1}{2}}

Simplify

(x^{2})^{\frac{1}{2}} : ∣ x ∣

Solve

(x^{x})^{\frac{1}{2}} = ∣ x ∣ :

No Solution for

x \in R

No Solution for x \in R

lo g_{4 - x} (4) = 2

lo g_{3} (7 - 2 x) = 2

0 = ln (x)

lo g_{6} (3 - x) = 2

lo g_{3} (18 x - x^{2}) = 4

What is the answer to e^{xln(x)}=x^2 ?
The answer to e^{xln(x)}=x^2 is No Solution for x\in\mathbb{R}