diff --git a/NEWS b/NEWS
index 3f987ee7aa..32eeaa7fe3 100644
--- a/NEWS
+++ b/NEWS
@@ -379,6 +379,8 @@ Removed Functionality
     - ``send_state``
     - ``checkpoint_state``
     - ``rescan_state``
+    - ``log_file_name``
+    - ``open_log_file``
 
 - The following events were deprecated in version 2.6 or below and are completely
   removed from this release:
diff --git a/scripts/base/init-bare.zeek b/scripts/base/init-bare.zeek
index a69f681f1f..24f6e24389 100644
--- a/scripts/base/init-bare.zeek
+++ b/scripts/base/init-bare.zeek
@@ -1775,30 +1775,9 @@ type gtp_delete_pdp_ctx_response_elements: record {
 @load base/bif/strings.bif
 @load base/bif/option.bif
 
-## Deprecated. This is superseded by the new logging framework.
-global log_file_name: function(tag: string): string &redef;
-
-## Deprecated. This is superseded by the new logging framework.
-global open_log_file: function(tag: string): file &redef;
-
 global done_with_network = F;
 event net_done(t: time) { done_with_network = T; }
 
-function log_file_name(tag: string): string
-	{
-	local suffix = getenv("ZEEK_LOG_SUFFIX");
-
-	if ( suffix == "" )
-		suffix = "log";
-
-	return fmt("%s.%s", tag, suffix);
-	}
-
-function open_log_file(tag: string): file
-	{
-	return open(log_file_name(tag));
-	}
-
 ## Internal function.
 function add_interface(iold: string, inew: string): string
 	{
diff --git a/scripts/policy/misc/profiling.zeek b/scripts/policy/misc/profiling.zeek
index 197d3a3f82..4b6f05f169 100644
--- a/scripts/policy/misc/profiling.zeek
+++ b/scripts/policy/misc/profiling.zeek
@@ -2,8 +2,18 @@
 
 module Profiling;
 
+function log_suffix(): string
+	{
+	local rval = getenv("ZEEK_LOG_SUFFIX");
+
+	if ( rval == "" )
+		return "log";
+
+	return rval;
+	}
+
 ## Set the profiling output file.
-redef profiling_file = open_log_file("prof");
+redef profiling_file = open(fmt("prof.%s", Profiling::log_suffix()));
 
 ## Set the cheap profiling interval.
 redef profiling_interval = 15 secs;
diff --git a/testing/btest/core/reporter.zeek b/testing/btest/core/reporter.zeek
index 8591096c2b..8ed75500ad 100644
--- a/testing/btest/core/reporter.zeek
+++ b/testing/btest/core/reporter.zeek
@@ -32,7 +32,7 @@ event connection_established(c: connection)
     first = 0;
 }
 
-global f = open_log_file("logger-test");
+global f = open("logger-test.log");
 
 event reporter_info(t: time, msg: string, location: string)
 	{
diff --git a/testing/btest/language/sizeof.zeek b/testing/btest/language/sizeof.zeek
index fc510afb70..48c69ddc27 100644
--- a/testing/btest/language/sizeof.zeek
+++ b/testing/btest/language/sizeof.zeek
@@ -24,7 +24,7 @@ global a6: addr = [::1];
 global b:  bool = T;
 global c:  count = 10;
 global d:  double = -1.23;
-global f:  file = open_log_file("sizeof_demo");
+global f:  file = open("sizeof_demo.log");
 global i:  int = -10;
 global iv: interval = -5sec;
 global p:  port = 80/tcp;
diff --git a/testing/btest/scripts/base/frameworks/logging/file.zeek b/testing/btest/scripts/base/frameworks/logging/file.zeek
index 6aa07f1699..b584f56fca 100644
--- a/testing/btest/scripts/base/frameworks/logging/file.zeek
+++ b/testing/btest/scripts/base/frameworks/logging/file.zeek
@@ -13,7 +13,7 @@ export {
 	} &log;
 }
 
-const foo_log = open_log_file("Foo") &redef;
+const foo_log = open("Foo.log") &redef;
 
 event zeek_init()
 {