3*2^a+s=768

There are infinitely many solutions to this equation since there are infinitely many possible values of "a" and "s" that satisfy the equation.

For example, if we let a=0 and s=768, then the equation becomes:
3*2^0 + 768 = 3*1 + 768 = 3 + 768 = 771, which is a valid solution.

Similarly, if we let a=1 and s=765, then the equation becomes:
3*2^1 + 765 = 3*2 + 765 = 6 + 765 = 771, which is another valid solution.

There are countless other combinations of "a" and "s" that can satisfy the equation 3*2^a + s = 768.