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Determintati numar natural n pentru care au loc egalitatile

a)7n+1:7^4=49^8

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Răspuns :

 

[tex]\displaystyle\bf\\7^{n+1}:7^4=49^8\\\\7^{n+1-4}=\Big(7^2\Big)^8\\\\7^{n-3}=7^{16}\\\\n-3=16=\\\\ n=16+3\\\\\boxed{\bf n=19}[/tex]

 

 

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