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

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

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

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

True for all x

Solution steps

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

Take both sides of the equation to the power of

\frac{1}{2}

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

Simplify

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

lo g_{3} (x - 2) - lo g_{9} (x - 4) = 1

4 + 9 \cdot ln (x) = 15.8

lo g_{2} (x^{7}) = 28

5 lo g_{2} (x) = lo g_{2} (x)

ln (7 x) = - 1

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