From the graph, the parent function is given as
y = log x
After the transformation, we observed that the new graph is formed as a result of shifting the parent function to the left by 5 units (horizontal shift to the left) and then shifted upward by 3 units (vertical shift upward).
Therefore, the equation of the transformed graph is y = log (x+5) + 3
The answer is y = log (x+5) + 3