Answer:
Domains aren't the same.
Step-by-step explanation:
These functions have different behaviours. First, the square root function doesn't admit negative values neither in y or x sets, because they are undetermined, but a logarithmic function admits negative values in one set. So, basically the graph of a squared root has place only in the first quadrant and the logarithmic function have place in two quadrants.
Also, each domain are like:
[tex]D_{root} = (x\geq 0)\\D_{log} = (x > 0)\\[/tex]
When we write each domain we can see that the main difference is the zero. A squared root function admits the zero, but a logarithmic function doesn't.
Therefore, they are not the same.