I'm a new comer to wordpress development and now i'm stuck. I have to change style and then add buttons in arrears wordpress logout template (after i am rerouted to http://example.com/wp-login.php?action=logout ).

But now you ask , where i'm able to discover that template?

Thanks ahead of time.

Regards.
Ivelin Georgiev

Right...

There (regrettably) is not a template page for that login page. I am unsure why this really is, maybe its for security or something like that, I dunno. Regardless you cannot edit it directly without playing using the wordpress core.

However you will find various hooks and actions you can include to to be able to perform some customisations. Here's some sample code from the own programs:

  // this adds stuff to the head. You can add a stylesheet
  // if you want, or just css like I have.
  add_action("login_head", "cust_login_head");
  function cust_login_head()
  {
        // this just changes the logo
    ?>
      <style>
      body.login #login h1 a {
        background: url('<?=plugins_url('images/logomed.png',__FILE__)?>') no-repeat scroll center top transparent;
        height: 64px;
        width: 307px;
        margin-left: 10px;
      }
      </style>
    <?php
  }
  // these change the default links from wordpress to whatever you want
  add_filter('login_headertitle', create_function(false, "return 'http://website.com';"));
  add_filter('login_headerurl', create_function(false, "return 'http://website.com';"));

Stick that to your functions.php file inside your theme to have it to operate.

You will see other such techniques and hooks you are able to change and increase, you need to simply locate them.

Use Themed login wordpress plugin - It enables to create login and registration process themeable using site's theme.