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

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

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

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

True for all x

Solution steps

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

Take both sides of the equation to the power of

\frac{1}{2}

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

Simplify

(x^{2})^{\frac{1}{2}} : ∣ x ∣

Simplify

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

Solve

∣ x ∣ = (x^{2})^{\frac{1}{2}} :

True for all

x

True for all x

3.65 = 5 - lo g_{10} (x)

ln (3 x + 1) = 7.492

2 + ln (t - 5) = 2.5

- lo g_{10} (x) = 1.3

ln (x) - ln (2 x - 5) = ln (3)

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