import math

import matplotlib.pyplot as plt

import numpy as np

if __name__ == '__main__':

    x = np.arange(0.05,3,0.05)

    y1 = [math.log(a,1.5) for a in x]

    plt.plot(x,y1,linewidth=2,color='#007500',label='log1.5(x)')

    plt.plot([1,1],[y1[0],y1[-1]],"r--",linewidth=2)

    y2 = [math.log(a,2) for a in x]

    plt.plot(x,y2,linewidth=2,color='#9F35FF',label='log2(x)')

    y3 = [math.log(a,3) for a in x]

    plt.plot(x,y3,linewidth=2,color='#F75000',label='log3(x)')

    plt.legend(loc='lower right')

    plt.grid(True)

    plt.show()