diff --git a/man/systemd-firstboot.xml b/man/systemd-firstboot.xml
index 3aa160ecad..5129d068f2 100644
--- a/man/systemd-firstboot.xml
+++ b/man/systemd-firstboot.xml
@@ -37,7 +37,7 @@
     <para><command>systemd-firstboot</command> initializes basic system settings interactively during the
     first boot, or non-interactively on an offline system image. The service is started during boot if
     <varname>ConditionFirstBoot=yes</varname> is met, which essentially means that <filename>/etc/</filename>
-    is empty, see
+    is unpopulated, see
     <citerefentry><refentrytitle>systemd.unit</refentrytitle><manvolnum>5</manvolnum></citerefentry> for
     details.</para>
 
diff --git a/src/core/main.c b/src/core/main.c
index 6f779586d0..4ee5e8735f 100644
--- a/src/core/main.c
+++ b/src/core/main.c
@@ -2151,7 +2151,7 @@ static void log_execution_mode(bool *ret_first_boot) {
                                 r = read_one_line_file("/etc/machine-id", &id_text);
                                 if (r < 0 || streq(id_text, "uninitialized")) {
                                         if (r < 0 && r != -ENOENT)
-                                                log_warning_errno(r, "Unexpected error while reading /etc/machine-id, ignoring: %m");
+                                                log_warning_errno(r, "Unexpected error while reading /etc/machine-id, assuming first boot: %m");
 
                                         first_boot = true;
                                         log_info("Detected first boot.");