implicitly redirecting stdout to a file

Is there a way to redirect all stdout to a file implicitly - like defining stdout=/home/me/process.log - so that all "echo" commands in several scripts/subscripts are written to that file; instead of having to edit all scripts to redirect the "echo" (e.g. echo 'This is a test ' >> =/home/me/process.log)?

sure. The following script will dump all stdout (and stderr) to file /foo/bar/baz.log till the script ends.

#!/bin/bash
exec > /foo/bar/baz.log 2>&1
echo blahonga
exit

To dump only stdout, drop the expression "2>&1"