Question

I keep getting wrong answer for this question.

Write as a single logarithm

log(x+1)+2log(2x+1)-log(x-3)

Answer 1

2log(2x+1) is the same as log(2x+1)^2

Now you have:
log(x+1) + log(2x+1)^2 - log(x-3)

Does that help?