question is in image

Let log(4-x)= a and log(x + 1/2)=b
Above equation becomes

a2 + ab – 2b2
= a2 + 2ab- ab – 2b2
= a( a + 2b) – b(a +2b)
= (a-b)(a+2b)

a=b or a= -2b
Put values and you can solve easily.
If there is any problem in that, reply on this thread.