### Instruction: How many two-digit numbers can be written in the form $2^n$ where $n$ is an integer? Let's write a Python program.### Response: # define a function to calculate 2^n for a range of n and check if it's a two-digit number
def two_digit_powers_of_two():
    n = 0
    count = 0
    while True:
        power = 2**n
        if power >= 10 and power <= 99:
            count += 1
        elif power > 99:
            break
        n += 1
    return count

# print the result
print(two_digit_powers_of_two())