How to use Matplotlib to plot curves with nonlinear x axis ticks?

Question

Currently, I can use the following code to plot my data as two curves.

from numpy import *
import math
import matplotlib.pyplot as plt

t = [1,2,4,8] 
raw_1 = [0.02, 0.02, 0.3, 0.4] 
raw_2 = [0.6, 0.7, 0.2, 0.3]
plt.plot(t, raw_1, color='r', marker='o') 
plt.plot(t, raw_2, color='b', marker='o')  
plt.show()

However, I hope to make the x-axis nonlinear. For example, only 1, 2, 4, 8 are visible and their x-ticks are separated with a same distance. As shown in this figure:

I am not very familiar with Matplotlib, could someone please tell me how I can generate a plot with the above x-axis?

I tried plt.xscale('log'), but I got the following plot:

The distance between 2 adjacent nodes looks nice, but the xticks does not look well.

Answer 1

Plot against arbitrary equally spaced numbers (it is convenient to use range()) for this, then replace the labels with your actual labels:

t = [1,2,4,8] 
raw_1 = [0.02, 0.02, 0.3, 0.4] 
raw_2 = [0.6, 0.7, 0.2, 0.3]
x = range(len(t))
plt.plot(x, raw_1, color='r', marker='o') 
plt.plot(x, raw_2, color='b', marker='o')
plt.xticks(x,t)
plt.show()