change homepage for logged-in users in wordpress

Set your default home page to the page logged in users should see.

Add this code to functions.php:

add_action('init', 'redirect_user');
// for users not logged in
function redirect_user(){
    if( !is_user_logged_in() ) {
        wp_redirect( 'http://www.YourSite.com/SomePage'); 
        exit;
    }
}

Logged in users will see what they should see, and those not logged in will be redirected.