Answer:
[tex]g(x)=\log(x)+2[/tex]
Step-by-step explanation:
Assuming the g(x) is the blue graph shown in the attachment, and [tex]f(x)=\log x[/tex] is the parent function, then we can obtain g(x) using transformation.
We can observe from the graph that g(x) is obtained by shifting f(x) up by 2 units.
This implies that: [tex]g(x)=f(x)+2[/tex]
Therefore the equation for g, is [tex]g(x)=\log(x)+2[/tex]