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Mă ajută cineva? 3×(n-8^13:4^17)=81^8:27^9​

Răspuns :

Voden

Bună!

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[tex]3*(n-8^{13} :4^{17} )=81^{8} :27^{9} <=>[/tex]

[tex]<=> 3*[n-(2^{3} )^{13}: (2^{2})^{17}]=(3^{4} )^{8} :(3^{3} )^{9} <=>[/tex]

[tex]<=>3*(n-2^{39} :2^{34} )=3^{32} :3^{27} <=>[/tex]

[tex]<=> 3*(n-2^{39-34} )=3^{32-27} <=>[/tex]

[tex]<=> 3*(n-2^{5} )=3^{5} <=>[/tex]

[tex]<=> 3*(n-32)=3^{5} /:3 <=>[/tex]

[tex]<=> n-32=3^{4} <=> n=81+32 =>\\\\=>n=113[/tex]

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