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Question Number 160426 by alf123 last updated on 29/Nov/21

Commented by mr W last updated on 29/Nov/21

$$oneequationfortwounknowns$$$$\Rightarrow nouniquesolution!$$

Commented by Rasheed.Sindhi last updated on 30/Nov/21

$$$$$$\mathrm{If}\mathrm{the}\mathrm{question}\mathrm{were}\mathrm{as}:$$$$▸\log (\log ({\mathrm{x}}^3\mathrm{y}-{\mathrm{y}}^3\mathrm{x})$$$$-\log (\log ({\mathrm{x}}^2\mathrm{y}-{\mathrm{y}}^2\mathrm{x})=0$$$$\log (\log ({\mathrm{x}}^3\mathrm{y}-{\mathrm{y}}^3\mathrm{x})=\log (\log ({\mathrm{x}}^2\mathrm{y}-{\mathrm{y}}^2\mathrm{x})$$$${\mathrm{x}}^3\mathrm{y}-{\mathrm{y}}^3\mathrm{x}={\mathrm{x}}^2\mathrm{y}-{\mathrm{y}}^2\mathrm{x}$$$$xy(x-y)(x+y)=xy(x-y)$$$$x+y=1$$

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