To redirect STDERR to STDOUT, you have to add 2>&1
at the end of each line
echo "Error occurred" >> log.file 2>&1
mount disk >> log.file 2>&1
If you have multiple file descriptor, just redirect all of them to stdout 3>&1…
Edit: when I don't remember how file descriptors work, I go to http://www.tldp.org/LDP/abs/html/io-redirection.html