The following code uses the eval() function to take the maximum value of two images and then convert the result into the "L" (8-bit black and white) color mode.

# Importing Image module from PIL package 
from PIL import Image, ImageMath
  
# creating a image object
im1 = Image.open(r"C:\Users\System-Pc\Desktop\ybear.jpg").convert('L') 
im2 = Image.open(r"C:\Users\System-Pc\Desktop\leave.jpg").convert('L')
  
# applying the eval method
out = ImageMath.eval("convert(max(a, b), 'L')", a = im1, b = im2)
out.save("result.jpg")
out.show()