code: def test_log_linear_schedule(self):
      values = [0.01, 0.1, 1, 10, 100]
      linear = LogLinearHomotopySchedule(
          start=0.01, end=100, num_steps=5
      )
      self.assertEqual(linear._values, values)
      self._test_schedule(schedule=linear, values=values)
  
file_path: botorch/test/optim/test_homotopy.py
imports: import unittest.mock
  import torch
  from botorch.acquisition import PosteriorMean
  from botorch.acquisition.monte_carlo import qExpectedImprovement
  from botorch.models import GenericDeterministicModel
  from botorch.optim.homotopy import FixedHomotopySchedule, Homotopy, HomotopyParameter, LinearHomotopySchedule, LogLinearHomotopySchedule
  from botorch.optim.optimize_homotopy import optimize_acqf_homotopy, prune_candidates
  from botorch.utils.testing import BotorchTestCase
  from torch.nn import Parameter
label_desc: Use image node_id 4 for calling the TestHomotopy obj's underlying member method code with example usage: obj.test_log_linear_schedule() without return types