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Aflati numarul natural x care verifica 8 x7 la puterea x = 7²²+7 ²³

Răspuns :

[tex]8*7^x=7^{22}+7^{23}\\ 8*7^x=7^{22}(1+7)\\ 8*7^x=7^{22}*8\\ 7^x=7^{22}=\ \textgreater \ x=22[/tex]