Question

2ln3+ln(x+1)=0 solve for x

Answer 1

2ln3+ln(x+1)=0
ln9+ln(x+1)=0
ln(9(x+1))=0
so
9x+9=e^0=1

so 9x=1-9
9x=-8
x=-8/9

Answer 2

The very first thing you OUGHT to do is consider the Domain.

A quick look at the ORIGINAL problem statement suggests \(x+1 \gt 0\;or\;x \gt -1\). This sort of thing prevents us from believing entirely inappropriate results.

In this case, \(-8/9 \gt -1\), so this seems appropriate. Had we concluded x = -11/9, we would have discarded it summarily.