diff --git a/lib/matplotlib/tests/test_axes.py b/lib/matplotlib/tests/test_axes.py
@@ -4799,6 +4799,21 @@ def test_fillbetween_cycle():
         assert tuple(cc.get_edgecolors().squeeze()) == tuple(edge_target)
 
 
+@cleanup
+def test_log_margins():
+    plt.rcParams['axes.autolimit_mode'] = 'data'
+    fig, ax = plt.subplots()
+    margin = 0.05
+    ax.set_xmargin(margin)
+    ax.semilogx([1, 10], [1, 10])
+    xlim0, xlim1 = ax.get_xlim()
+    transform = ax.xaxis.get_transform()
+    xlim0t, xlim1t = transform.transform([xlim0, xlim1])
+    x0t, x1t = transform.transform([1, 10])
+    delta = (x1t - x0t) * margin
+    assert_allclose([xlim0t + delta, xlim1t - delta], [x0t, x1t])
+
+
 @cleanup
 def test_color_length_mismatch():
     N = 5
@@ -4809,4 +4824,4 @@ def test_color_length_mismatch():
         ax.scatter(x, y, c=colors)
     c_rgb = (0.5, 0.5, 0.5)
     ax.scatter(x, y, c=c_rgb)
-    ax.scatter(x, y, c=[c_rgb] * N)
+    ax.scatter(x, y, c=[c_rgb] * N)