Using natural logs for variables on both sides of econometric specification is called a log-log model. This model is handy when the relationship is nonlinear in parameters, because the log transformation generates the desired linearity in parameters.

Reference:
https://www.dummies.com/education/economics/econometrics/econometrics-and-the-log-log-model/

Log-Log Regression & Interpretation (What do the Regression Coefficient Estimate Results Mean?https://www.youtube.com/watch?v=NZCSt9WkpkI