Add \(3\) to both sides.
\[y+3={3}^{x+1}\]
Use Definition of Common Logarithm: \({b}^{a}=x\) if and only if \(log_b(x)=a\).
\[\log_{3}{(y+3)}=x+1\]
Subtract \(1\) from both sides.
\[\log_{3}{(y+3)}-1=x\]
Switch sides.
\[x=\log_{3}{(y+3)}-1\]
x=log(3,y+3)-1
