Question

6 la puterea n + 6 la puterea n+3=217×6 la puterea 55

Answer 1

$6^n + 6^{n+3}=217*6^{55}$
$6^n + 6^{n}*6^3=217*6^{55}$
$6^n(1+6^3)=217*6^{55}$
$6^n(1+216)=217*6^{55}$
$6^n*217=217*6^{55}$
$6^n=6^{55}$
=>$\boxed{n=55}$