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_{10} (x) = 0.66

lo g_{10} (3 x) = lo g_{10} (\frac{x}{12})

175 lo g_{10} (x^{2} - 8) = 0

lo g_{3} (x + 2) = 3

lo g_{10} (4) + lo g_{10} (2 x) = lo g_{10} (24)

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}