#!/usr/bin/env python3

from math import log, log10
import matplotlib.pyplot as plt

# If error ImportError: numpy.core.multiarray failed to import
# Unintall numpy: pip3 uninstall numpy
# Install version pip3 install "numpy<2"

LOG_MAX=100
LOG_MAX_NEGATIVE=10

fig, ax = plt.subplots()
ax.axhline(y=0, color="black", linestyle=":")
x = list()
ybe = list()
y10 = list()
y2 = list()

for i in range(1, LOG_MAX_NEGATIVE):
    x.append(i/LOG_MAX_NEGATIVE)
    ybe.append(log(i/LOG_MAX_NEGATIVE))
    y10.append(log(i/LOG_MAX_NEGATIVE, 10))
    y2.append(log(i/LOG_MAX_NEGATIVE, 2))

for i in range(1, LOG_MAX):
    # print(log(i))
    x.append(i)
    ybe.append(log(i)) # By default, base e
    y10.append(log(i, 10))
    y2.append(log(i, 2))

ax.plot(x, ybe, linewidth=2, label=r"$log_e$")
ax.plot(x, y10, linewidth=2, label=r"$log_{10}$")
ax.plot(x, y2, linewidth=2, label=r"$log_{2}$")
ax.legend(fontsize=14)
plt.show()