What is e^{ln(y)}=e^{2*ln(x)} ?

The solution to e^{ln(y)}=e^{2*ln(x)} is Parabola with (h,k)=(0,0),p= 1/4

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

e^{l n (y)} = e^{2 \cdot l n (x)}

(h, k) = (0, 0), p = \frac{1}{4}

Solution steps

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

Rewrite

e^{l n (y)} - e^{2 l n (x)} = 0

in the standard form

4 \cdot \frac{1}{4} (y - 0) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 0), p = \frac{1}{4}

What is e^{ln(y)}=e^{2*ln(x)} ?
The solution to e^{ln(y)}=e^{2*ln(x)} is Parabola with (h,k)=(0,0),p= 1/4