Question

4^n+4^n+1=10×2^2005 Aflati n=?

Answer 1

$4^{n} + 4^{n+1}=10* 2^{2005}$
$2^{2n}(1+4)=5*2* 2^{2005}$
$2^{2n}*5=5* 2^{2006}$
$2^{2n}= 2^{2*1003}$
=> $n=1003$