htaccess 301 redirect to different domain - apache

Question

Trust me, I've searched all over for a solution to my problem, so I don't believe this is a duplicate question.
I need to do the following:
301 Redirect blog.example.com to blog.newexample.com.
What I have is close to working. When I go to the homepage of blog.example.com it will redirect perfectly to blog.newexample.com. However, if I go to blog.example.com/directory/page it does not direct me to blog.newexample.com/directory/page.
Here is what my .htaccess looks like:
# BEGIN WordPress
<IfModule mod_rewrite.c>
RewriteEngine On
RewriteBase /
RewriteRule ^index\.php$ - [L]
RewriteCond %{REQUEST_FILENAME} !-f
RewriteCond %{REQUEST_FILENAME} !-d
RewriteRule . /index.php [L]
RewriteCond %{HTTP_HOST} !newexample.com$ [NC]
RewriteRule ^(.*)$ http://blog.newexample.com/$1 [L,R=301]
</IfModule>
# END WordPress

Answer 1

I'm not sure to understand what your problem is, but this works just fine :
<IfModule mod_rewrite.c>
RewriteEngine On
RewriteBase /
RewriteCond %{HTTP_HOST} !newexample.com$ [NC]
RewriteRule ^(.*)$ http://blog.newexample.com/$1 [L,R=301]
</IfModule>
The URL http://website.com/hello/world/ redirects me to
http://blog.newexample.com/hello/world/.