def METHOD_NAME(self):
    area = Area([(1, 1), (2, 2), (3, 3)]).opts(padding=0.1, logy=True)
    plot = mpl_renderer.get_plot(area)
    x_range, y_range = plot.handles['axis'].get_xlim(), plot.handles['axis'].get_ylim()
    self.assertEqual(x_range[0], 0.8)
    self.assertEqual(x_range[1], 3.2)
    self.assertEqual(y_range[0], 0.03348369522101712)
    self.assertEqual(y_range[1], 3.3483695221017129)
    self.log_handler.assertContains('WARNING', 'Logarithmic axis range encountered value less than')