Remove the Login | Lost Password link from the frontend page with PHP filter

/* Hide/remove Log In & Lost Password text add this below code on your theme/child-theme's functions.php file */
  /** hide login text **/
function remove_login_text ( $text ) {
         if ($text == 'Log In'){$text = '';}
                return $text;
         }
add_filter( 'gettext', 'remove_login_text' );

/** hide lost password text **/
function remove_lostpassword_text ( $text ) {
         if ($text == 'Lost Password'){$text = '';}
                return $text;
         }
add_filter( 'gettext', 'remove_lostpassword_text' );