Hi,
I understand that you need:
1. Recaptcha to work on login page,
2. Just like it does on Forget Password,
3. You have added the code there,
4. but it is not working,
5. You can login with having entered correct captcha.
I have the experience in PHP, MYSQL, AJAX, JS, JQUERY as core technologies. In Frameworks, I have expertise in CakePHP, Codeigniter, learning Symfony I would say.
I am just looking forward to have a word with you.