The logarithmic functions, f(x) and g(x), are shown on the graph.

Graph depicting two curves, g of x and f of x equals log x. Curve g of x is increasing from the left asymptotic to the line x equals negative 1 and bends to the right and passes through zero comma four. Curve f of x equals log x increasing from the left asymptotic to the y-axis and bends to the right and passes through one comma zero.

What is the equation that represents g(x)? Explain your reasoning.