ul natural n pentru care 2 5+2" 5T+22 5" = 590. Sunliment Gazeta Matematică nr. 11/2
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[tex]\it 2^{n+1}\cdot5^{n+2}+2^n\cdot5^{n+1}+2^{n+2}\cdot5^n=590 \Rightarrow 10^n(2\cdot25+5+4)=590 \Rightarrow \\ \\ \Rightarrow 10^n\cdot59=590|_{:59} \Rightarrow 10^n=10 \Rightarrow n=1[/tex]