Question

Log(x-2)+log2=2logy

Answer 1

I will assume you want this simplified
Using basic log rules:
Log(x-2)+log2=2logy
log( (x-2)(2) ) = log (y^2)
anti-log it
2(x-2) = y^2

y^2 = 2x - 4 or x = (y^2 + 4)/2 or ....