Python implementation of simple logarithmic function

Use python to draw logarithmic functions of various logs

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

"""Implementation of simple log function"""
 if __name__ == '__main__' :
    x = np.arange(0.05,3,0.05)
    print(x)
    print(type(x))
    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()