8^x = 16^x+2, x+2
-2=0
8^x =16^x+2, 2 x 8 = 16
log sub 5 (2x+3)=2
2(7/2)+3=2
log sub 5 (2x+3)=2
log sub 5 =11
The first and second lines make no sense whatsoever.
The last is even more confusing.
Watch
8^x = 16^(x+2)
8^x = 8^2(x+2)
x= 2x+4 solve for x.
On the next
log5 (2x+3)=2
2x+3=25
solve for x.
I think you need a tutor to help you study this: your work seems helter skelter and in need of organized thought. Discuss this with your mom quickly.