Question

Solve for $x$:

$2^{2x+1}+2^9=2^{10}$.

Answer 1

Now,

$2^{2x+1}+2^9=2^{10}$

or, $2^{2x+1}=2^{10}-2^9$

or, $2^{2x+1}=2^9$

or, $2x+1=9$

or, $2x=8$

or, $x=4$.