Logging class question

import os
import time
import logging

class BaseLog:
    def Log(self, sToLog):
        #formatter and logger
        formatter = logging.Formatter("%(asctime)s_pid:%(process)d_%(levelname)s_ ~ %(message)s")
        sLogName = "Random_File_Name"
        logger = logging.getLogger(sLogName)
        logger.setLevel(logging.DEBUG)

        #file handler
        FileHandler = logging.FileHandler("logs\\" + sLogName + "_" + time.strftime("%Y%m%d", time.localtime()) + ".log")
        FileHandler.setLevel(logging.DEBUG)
        FileHandler.setFormatter(formatter)
        logger.addHandler(FileHandler)

        #console handler
        ConsoleHandler = logging.StreamHandler()
        ConsoleHandler.setLevel(logging.DEBUG)
        ConsoleHandler.setFormatter(formatter)
        logger.addHandler(ConsoleHandler)
        logger.debug(sToLog)
    #end def
#end class

oLog = BaseLog()
oLog.Log("1 Log")
oLog.Log("2 Log")
oLog.Log("3 Log")

'''
    $ python p.py

    logger(1) A Log

    logger(1) B Log
    logger(2) B Log

    logger(1) C Log
    logger(2) C Log
    logger(3) C Log
'''

import logging

i = 0

def Log(sToLog):
    global i
    print('')
    logger = logging.getLogger()
    ConsoleHandler = logging.StreamHandler()
    i += 1
    formatter = logging.Formatter('logger(%d) %%(message)s'%i)
    ConsoleHandler = logging.StreamHandler()
    ConsoleHandler.setFormatter(formatter)
    logger.addHandler(ConsoleHandler)
    logger.error(sToLog)

Log('A Log')
Log('B Log')
Log('C Log')