#Import the NumPy library
import numpy as np

#Initiating NumPy array
arr = np.array([[1, 2], [3, 4]])

#Setting 'base' as 2
base = 2

#Applying log base 2 on the array
log_arr = np.power(base, arr)

#Displays result
print("Logarithmic function with base", base, ":\n", log_arr)