code: def test_axesgrid_colorbar_log_smoketest():
      fig = plt.figure()
      grid = AxesGrid(
          fig,
          111,  # modified to be only subplot
          nrows_ncols=(1, 1),
          ngrids=1,
          label_mode="L",
          cbar_location="top",
          cbar_mode="single",
      )
  
      Z = 10000 * np.random.rand(10, 10)
      im = grid[0].imshow(Z, interpolation="nearest", norm=LogNorm())
  
      grid.cbar_axes[0].colorbar(im)
  
imports: from itertools import product
  import io
  import platform
  import matplotlib
  import matplotlib.pyplot
  import matplotlib.ticker
  from matplotlib import cbook
  from matplotlib.backend_bases import MouseEvent
  from matplotlib.colors import LogNorm
  from matplotlib.patches import Circle, Ellipse
  from matplotlib.transforms import Bbox, TransformedBbox
  from matplotlib.testing.decorators import check_figures_equal, image_comparison, remove_ticks_and_titles
  from mpl_toolkits.axes_grid1 import axes_size, host_subplot, make_axes_locatable, Grid, AxesGrid, ImageGrid
  from mpl_toolkits.axes_grid1.anchored_artists import AnchoredAuxTransformBox, AnchoredDrawingArea, AnchoredEllipse, AnchoredDirectionArrows, AnchoredSizeBar
  from mpl_toolkits.axes_grid1.axes_divider import Divider, HBoxDivider, make_axes_area_auto_adjustable, SubplotDivider, VBoxDivider
  from mpl_toolkits.axes_grid1.axes_rgb import RGBAxes
  from mpl_toolkits.axes_grid1.inset_locator import zoomed_inset_axes, mark_inset, inset_axes, BboxConnectorPatch, InsetPosition
  import mpl_toolkits.axes_grid1.mpl_axes
  import pytest
  import numpy
  from numpy.testing import assert_array_equal, assert_array_almost_equal
label_desc: Use image node_id 4 for calling a global function with example usage: test_axesgrid_colorbar_log_smoketest() without return types