Python guessing game

import random

import math

 # Taking Inputs

lower = int(input("Emter Lower bound:- ")) 
 
# Taking Inputs

upper = int(input("Enter Upper bound:- "))  
 
# generating random number between
# the lower and upper

x = random.randint(lower, upper)

print("\n\tYou've only ", round(math.log(upper - lower + 1, 2))," chances to guess the integer!\n")
 

 # Initializing the number of guesses.

count = 0
 
# for calculation of minimum number of
# guesses depends upon range

while count < math.log(upper - lower + 1, 2):

    count += 1

     

     # taking guessing number as input

    guess = int(input("Guess a number:- ")) 

     

    # Condition testing

    if x == guess:  

       print("Congratulations you did it in ", count, " try")

       # Once guessed, loop will break 

       break

    elif x > guess:

       print("You guessed too small!")

    elif x < guess:

       print("You Guessed too high!")
 
# If Guessing is more than required guesses, 
# shows this output.

if count >= math.log(upper - lower + 1, 2):

   print("\nThe number is %d"%x)

   print("\tBetter Luck Next time!")