Any trick to re-write in vector form $\sum_{i=1}^n -\ln(1 + \eta_i x_i) $, where $x, \eta \in \mathbb{R}^n$ Sorry, for a stupid question probably. 
Is there any trick to re-write this in vector form $$\sum_{i=1}^n -\ln(1 + \eta_i x_i) $$ where $x, \eta \in \mathbb{R}^n$?


$\sum_{i=1}^n -\ln(1 + \eta_i x_i) \equiv -e^T \ln(e + x \odot \eta )$, where $e$ is all-ones vector
