Bug report

Bug summary

Font options do no apply correctly when using a logarithmic scale with numbers smaller than 1 (i.e. negative exponents). This issue seems related for positive exponents.

Code for reproduction

import matplotlib.pyplot as plt
import numpy as np

tick_size = 25

x = np.arange(1, 500)
y_small = np.power(x, -0.1)
y_large = np.power(x, 2)

plt.figure()
ax1 = plt.axes()
ax1.plot(x, y_large)
ax1.set_yscale("log")
ax1.tick_params(labelsize=tick_size)

plt.figure()
ax2 = plt.axes()
ax2.plot(x, y_small)
ax2.set_yscale("log")
ax2.tick_params(labelsize=tick_size)

plt.show()

Actual outcome

For log values with negative exponents, the font size is not correctly set:

Expected outcome
Similar behavior as in the situation when working with a log scale with positive exponents:

Matplotlib version

• Operating system: Ubuntu 18.04
• Matplotlib version: 3.1.2
• Matplotlib backend (print(matplotlib.get_backend())): TkAgg
• Python version: 3.6.9
• Jupyter version (if applicable): N/A
• Other libraries: Numpy version 1.17.0

All packages installed through pip in a virtual environment.