code: def _log_grid(a, b, num: int) -> numpy.ndarray:
      return numpy.exp(_lin_grid(numpy.log(a), numpy.log(b), num))
  
imports: from __future__ import annotations
  import itertools
  import logging
  import numpy
  from orion.algo.base import BaseAlgorithm
  from orion.algo.space import Categorical, Dimension, Fidelity, Integer, Real, Space
  from orion.core.utils import format_trials
label_desc: Use image node_id 6 for calling a global function with example usage: _log_grid(a, b, num) and returns: numpy