\(\displaystyle \text{ Example,the domain of y=ln(x) is }\)------\(\displaystyle x >0\)
\(\displaystyle \text{ The domain of y=ln(x+2) is }\)
\(\displaystyle (x+2) >0\)
\(\displaystyle x > -2\)
\(\displaystyle \text{ Notice it must be bigger than zero, Not equal to zero .}\)
I advice you to use google search on Domain and range of logarithms.
Aladdin