The graphs of logarithm function $f(x)=\ln x$ passing (1,4) and logarithm function $g(x)$ passing (1,0) are shown below. $g(x)$ is a transformation of $f(x)$.

Hence state the equation of $g(x)$.

Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: The graphs of logarithm function $f(x)=\ln x$ passing (1,4) and logarithm function $g(x)$ passing (1,0) are shown below. $g(x)$ is a transformation of $f(x)$.

Hence state the equation of $g(x)$.

Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: The graphs of logarithm function $f(x)=\ln x$ passing (1,4) and logarithm function $g(x)$ passing (1,0) are shown below. $g(x)$ is a transformation of $f(x)$.

Hence state the equation of $g(x)$.
