Validation and getting everything to write to file

So I'm working on a password program that logs all incorrect attempts (just the date and time with an error message saying why)
The issue I'm having is when I input a password that is say, >10 and then input a password that is <6...all failed attempts will be logged as >10 even if that isn't the case.

I'm very much a beginner to Python so feel free to explain everything to me like I'm 5.

import datetime


def main():

    MIN_LENGTH = 6
    MAX_LENGTH = 10
    PASSWORD_LOG_FILE = "password_log.txt"
    password = input("Please enter your password for checking: ")
    password_length = len(password)


    while len(password) < 6 or len(password) > 10:
        print("Invalid")
        error_log = str(datetime.datetime.now())
        output_file = open(PASSWORD_LOG_FILE, "a")
        output_file.write(error_log)
        password = input("Please enter your password for checking: ")
        if password_length < MIN_LENGTH:
            output_file.write("{}, password <6".format(error_log))
        elif password_length > MAX_LENGTH:
            output_file.write("{}, password >10".format(error_log))
        output_file.write("\n")
        output_file.close()

    if password.isnumeric() is True:
        comment = "password is weak - contains only numbers."
    elif password.isalpha() is True:
        comment = "password is weak - contains only letters."
    else:
        comment = "password is strong."

    print("Your password is {:} characters long".format(len(password)))
    print("Your {:s}".format(comment))

    input_file = open(PASSWORD_LOG_FILE, "r")

    for line in input_file:
        print(line, end='')

    input_file.close()

main()

I realise an issue may be in the "While" loop and tried moving bits of code around and re-formatting but I either trigger an endless loop or the error message doesn't begin in a new line etc.
As mentioned above, What I would like to happen is that it tells me the password was invalid because it was either <6 or <10. Right now it logs all incorrect attempts as the same as the first attempt - I can't seem to locate the dodgy line of code that is causing this!

You store password_length once at the start, and use it in your if check. However, len(password) is not the same as password_length! You correctly use len(password) in your while loop, but you don't update password_length to the new length after you retype a password.

You have a few options of how to fix this, but I think the easiest one may be to add the line password_length = len(password) just after password = input("Please enter your password for checking: ").