#Import the NumPy library
import numpy as np
#Initiating NumPy array
arr = np.array([[1, 2], [3, 4]])
#Initiating a variable 'log_arr'
log_arr = np.zeros(arr.shape)
#Looping through every element in the 2D array and
#applying natural Logarithm
for i in range(arr.shape[0]):
for j in range(arr.shape[1]):
log_arr[i,j] = np.log(arr[i,j])
#Displays result
print("Logarithmic function:\n", log_arr)