Windows .bat file to run and log to file a ping to any host while adding timestamp

ping-timestamp.bat

@echo off

set /p host=host Address: 
set logfile=Log_%host%.log

echo Target Host = %host% >%logfile%
for /f "tokens=*" %%A in ('ping %host% -n 1 ') do (echo %%A>>%logfile% && GOTO Ping)
:Ping
for /f "tokens=* skip=2" %%A in ('ping %host% -n 1 ') do (
    echo %date% %time:~0,2%:%time:~3,2%:%time:~6,2% %%A>>%logfile%
    echo %date% %time:~0,2%:%time:~3,2%:%time:~6,2% %%A
    timeout 1 >NUL 
    GOTO Ping)

I kept having to search on stack-overflow for the right script and got tired of wasting 10 minutes every time.