Solving System of Equations

Solve the following system of equations alegebraically:
y=log₂(16x+2)
y=4+log₂(2x-3)

If I could see you sitting there working on this I'd know whether or not or you had got anywhere but as it is I have no idea how far you've got, whether you have made a sensible first step that you didn't bother to mention or what.

So, what have you done?

Very often if you have two equations of the form y= f(x), y= g(x), it's a good idea to set f(x)= g(x). What do you get when you do that?

Attachment 26318