Question

log50+log(x/2)=2

Answer 1

when you add logs, you multiply.
log a + log b = log (a b)
so
log 25 x = 2

by definition if base b log (you did not say if base 10 or base e or base 596 or whatever so I will assume base 10
base^log a = a

so 10^25 x = 25 x
and 10^2 = 100
so
25 x = 100
and
x = 4