Find two different sets of parametric equations for the foll

Find two different sets of parametric equations for the following equation. Y=1/x^4 x=e\', y=e^-4t and x=e^-4In(t-3), y=t+3 x=e^4t, y=e^-4t and x=e^-4In(t-3), y=t+3 x=e^In(t-3/4), y=t-3 and x=e^-4In(t-3), y=t+3 x=e^t, y=e^-4t and x=e^In(t-3)/4, y=t-3 x=e^4t, y=e^-4t and x=e^In(t-3)/4, y=t-3

Solution

y=1/x⁴

x=e^t

y=1/(e^t)⁴

y =e^-4t

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y =t-3

t-3=1/x⁴

x⁴=1/(t-3)

x=(1/(t-3))^1/4

x=(t-3)^-1/4

x=e^{ln(t-3)^(-1/4)}

x=e^{(-1/4)ln(t-3)}

x=e^-(ln(t-3))/4

D)x=e^t,y =e^-4t and x=e^-(ln(t-3))/4,y=t-3