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

The answer to e^{2ln(x)}=x^2 is True for all x

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

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

True for all x

Solution steps

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

Take both sides of the equation to the power of

\frac{1}{2}

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

Simplify

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

Simplify

(x^{2})^{\frac{1}{2}} : ∣ x ∣

Solve

(x^{2})^{\frac{1}{2}} = ∣ x ∣ :

True for all

x

True for all x

5 = lo g_{10} (2 x) - lo g_{10} (x + 1)

0.2 = - lo g_{10} (x)

lo g_{2} (11 - x) = lo g_{2} (x + 1) + 3

lo g_{a} (N) = ln (x)

lo g_{3} (2 x) = 1

What is the answer to e^{2ln(x)}=x^2 ?
The answer to e^{2ln(x)}=x^2 is True for all x