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8x7 la X =7la22+7 la 23

Răspuns :


[tex]\it 8\cdot 7^x = 7^{22}+7^{23} \Rightarrow 8\cdot7^x = 7^{22}(1+7) \Rightarrow 8\cdot7^x = 7^{22}\cdot8|_{:8} \Rightarrow \\\;\\ \Rightarrow 7^x = 7^{22} \Rightarrow x = 22[/tex]