How to modify the slug for the default wp posts without affecting other posttypes?

According to the docs: https://codex.wordpress.org/Using_Permalinks

Go to settings -> permalinks -> custom structure

and change that to: /blog/%postname%/

But please make sure that in your custom post types definition, (register_post_type) set

'rewrite' => array( 'with_front' => false ),

unless the URL of all of your custom post types will be prefixed by /blog/

UPDATE:

As @rudtek mentioned in the comment, after your set 'with_front' => false, you must go to settings->permalinks and hit save again to flush rewrite rules. (This is the solution for many permalink issues)