diff --git a/chapter01/changelog.xml b/chapter01/changelog.xml
index c7a3d0b02..959de7006 100644
--- a/chapter01/changelog.xml
+++ b/chapter01/changelog.xml
@@ -75,10 +75,11 @@ compiling on non-x86 architectures.</para></listitem>
 variable to define -fPIC so the dynamic library gets compiled properly at
 all times.</para></listitem>
 
-<listitem><para>January 5th, 2003 [timothy]: Chapter 05 - Applied Alex's
-patch to split the <emphasis>Install all software as an unprivileged
-user</emphasis> page into two pages: <emphasis>Adding the user lfs</emphasis>
-and <emphasis>Setting up the environment</emphasis>.</para></listitem>
+<listitem><para>January 5th, 2003 [timothy]: Chapter 05 - Applied a revised
+version of Alex's patch to split the <emphasis>Install all software as an
+unprivileged user</emphasis> page into two pages: <emphasis>Adding the user
+lfs</emphasis> and <emphasis>Setting up the
+environment</emphasis>.</para></listitem>
 
 <listitem><para>January 2nd, 2003 [gerard]: Chapter 05 - All packages whose
 configure script supports the LDFLAGS environment variable now use it
diff --git a/chapter05/adding-user.xml b/chapter05/adding-user.xml
index f36d5578f..b1a740875 100644
--- a/chapter05/adding-user.xml
+++ b/chapter05/adding-user.xml
@@ -12,9 +12,8 @@ the following commands to add the new user:</para>
 <para><screen><userinput>useradd -s /bin/bash -m lfs
 passwd lfs</userinput></screen></para>
 
-<para>In order to grant the user <emphasis>lfs</emphasis> the proper permissions
-to the <filename>$LFS/static</filename> directory, issue the following
-command:</para>
+<para>In order to grant ownership of the <filename>$LFS/static</filename>
+directory to the user <emphasis>lfs</emphasis>, issue the command:</para>
 
 <para><screen><userinput>chown -R lfs $LFS/static</userinput></screen></para>
 
diff --git a/chapter05/setting-environment.xml b/chapter05/setting-environment.xml
index f143b8b69..9ee0477d4 100644
--- a/chapter05/setting-environment.xml
+++ b/chapter05/setting-environment.xml
@@ -21,14 +21,13 @@ Other users of the system will be have read permission, and executable
 permission to directories. It is advisable to keep this setting throughout
 your LFS installation.</para>
 
-<para>The LFS, LC_ALL, and CC environment variables are also set. The LFS
-variable has been explained in previous chapters. LC_ALL is a variable used
-for internationalization.</para>
+<para>The LFS variable has been explained in previous chapters. LC_ALL is
+a variable used for internationalization.</para>
 
 <para>The LC_ALL variable controls the localization of certain programs,
 making their messages follow the conventions of a specified country. If your
 host system uses a version of <emphasis>glibc</emphasis> older than 2.2.4,
-having LC_ALL set to something other than "C" or "POSIX" during Chapter 5
+having LC_ALL set to something other than "C" or "POSIX" during this chapter
 may cause trouble if you exit the chroot environment and wish to return later.
 By setting LC_ALL to "POSIX" ("C" is an alias for "POSIX") we ensure that
 everything will work as expected in the chroot environment.</para>