In the log-linear model, we predict the natural log of the dependent variable. 

When the dependent variable is logged, we are predicting a percent change in Y.

If the independent variable is logged, then we are predicting the expected change in Y in its native unit given a 1 percent increase in X.

If both the independent and dependent variables are logged, then we are predicting a percent change in Y given a percent change in X. 

Logged models describe a model where all variables are logged.