Does one usually write the model as $$h(t| \textbf{x}) = h_{0}(t) \exp(\beta_{1}x_1 + \dots + \beta_{p}x_{p})$$ or as $$\log[h(t|\textbf{x})] = \log[h_{0}(t)]+\beta_{1}x_1 + \dots + \beta_{p}x_{p} $$
They are both equivalent right? But would most people use the second form since it is similar to the form of linear regression and logistic regression (e.g. link function on LHS and linear terms on the RHS)?
