how to make a particular axis which isn't linear or log?

Question

I want to replicate this axis (see picture) and I have a range of values from 1-10 - what format is this in and how can it be achieved in matplotlib?

Answer 1

import matplotlib.pyplot as plt
import matplotlib.ticker as ticker
import numpy as np

fig, ax = plt.subplots()
x = np.linspace(1, 11, 100)
y = np.sin(x)
ax.plot(x, y)
ax.set_xscale('log')
ax.xaxis.set_major_formatter(ticker.ScalarFormatter())
ax.xaxis.set_major_locator(ticker.FixedLocator([1, 3, 6, 10]))
ax.set_xlim(0, 11)
plt.show()