Kesha got outta Dodge Friday night ... arriving at LAX for a midnight flight to the Bahamas.
Our photog asked the singer if she was moved by fans who are supporting her in what has become an epic Hollywood fight. Kesha makes it clear ... her fans have become her rock. And ditto Taylor Swift.
Our sources say she plans on laying low in the Bahamas for a week, as her lawyers fight to press their claim against Sony to let her out of her contract, on grounds Dr. Luke allegedly raped and drugged her.