y = x * 2
data = pd.DataFrame(data={'x': x, 'y': y})
f, ax = plt.subplots(figsize=(7, 7))
ax.set(xscale='log', yscale='log')
sns.regplot('x', 'y', data, ax=ax, scatter_kws={'s': 100})
Log-log lmplot with seaborn