Respuesta :

Assuming that   4^2-6(2^x)-16=0   is correct, we can rearrange it as:

-6(2^x) + 4^2 - 16=0

Are you sure it's not   
6(2^x) + 4^2 - 16=0  ?

If   6(2^x) + 4^2 - 16=0    is correct, then

6(2^x) + 4^2 - 16=16 - 16 = 0, that is,   6(2^x) = 0.  Then x = 0 (answer)