import itertools

import numpy as np
from matplotlib import pyplot as plt


x_vals = [4.38462e-06,
          5.54929e-06,
          7.02332e-06,
          8.88889e-06,
          1.125e-05,
          1.42383e-05,
          1.80203e-05,
          2.2807e-05,
          2.88651e-05,
          3.65324e-05,
          4.62363e-05,
          5.85178e-05,
          7.40616e-05,
          9.37342e-05,
          0.000118632,
          ]

y_vals = [0.0,
          0.10000000000000002,
          0.182,
          0.332,
          0.604,
          1.1,
          2.0,
          3.64,
          6.64,
          12.100000000000001,
          22.0,
          39.60000000000001,
          71.3,
          ]

pts = np.array(list(itertools.product(x_vals, y_vals)))

fig = plt.figure("Scatter plot")
ax = fig.gca()
ax.set_xscale('log')
ax.set_yscale('log')
ax.scatter(pts[:,0], pts[:,1]) # This only shows four rows of points

fig = plt.figure("Regular plot")
ax = fig.gca()
ax.set_xscale('log')
ax.set_yscale('log')
ax.plot(pts[:,0], pts[:,1], marker="o", ls="") # This works

plt.show()