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Question Number 18365 by aplus last updated on 19/Jul/17

Answered by mrW1 last updated on 19/Jul/17

$$\mathrm{x}=6$$$$\mathrm{y}=2$$

Commented by mrW1 last updated on 19/Jul/17

$$\mathrm{try}\mathrm{\&}\mathrm{error}$$$$\mathrm{try}\mathrm{with}\mathrm{x}=6\mathrm{in}\left(\mathrm{ii}\right)\mathrm{you}\mathrm{get}\mathrm{y}=2$$$$\mathrm{check}\mathrm{in}\left(\mathrm{i}\right)$$$${\left({6\mathrm{x}}^{\mathrm{y}}\right)}^2={\left(6\times 6^2\right)}^2=6^2\times 6^4=6^6={\mathrm{x}}^{\mathrm{x}}$$$$\Rightarrow \mathrm{x}=6\mathrm{and}\mathrm{y}=2\mathrm{ok}!$$$$\mathrm{such}\mathrm{equations}{\mathrm{don}}^{\prime }\mathrm{t}\mathrm{make}\mathrm{much}\mathrm{sense}.$$$$\mathrm{there}\mathrm{are}\mathrm{no}\mathrm{general}\mathrm{solution}\mathrm{methods}.$$

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