diff --git a/Log.php b/Log.php
index c3a27e4..595464b 100755
--- a/Log.php
+++ b/Log.php
@@ -237,7 +237,7 @@ public function flush(): bool
      * Abstract implementation of the log() method.
      * @since Log 1.0
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         return false;
     }
diff --git a/Log/composite.php b/Log/composite.php
index 2be40ec..8f637a3 100755
--- a/Log/composite.php
+++ b/Log/composite.php
@@ -129,7 +129,7 @@ public function flush(): bool
      *
      * @return boolean  True if the entry is successfully logged.
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         /* If a priority hasn't been specified, use the default value. */
         if ($priority === null) {
diff --git a/Log/console.php b/Log/console.php
index 39272a2..dc4f014 100755
--- a/Log/console.php
+++ b/Log/console.php
@@ -181,7 +181,7 @@ public function flush(): bool
      *                  PEAR_LOG_NOTICE, PEAR_LOG_INFO, and PEAR_LOG_DEBUG.
      * @return boolean  True on success or false on failure.
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         /* If a priority hasn't been specified, use the default value. */
         if ($priority === null) {
diff --git a/Log/daemon.php b/Log/daemon.php
index 4cc12a4..98cb769 100755
--- a/Log/daemon.php
+++ b/Log/daemon.php
@@ -149,7 +149,7 @@ public function close(): bool
      *                  LOG_ERR, LOG_WARNING, LOG_NOTICE, LOG_INFO,
      *                  and LOG_DEBUG.  The default is LOG_INFO.
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         /* If a priority hasn't been specified, use the default value. */
         if ($priority === null) {
diff --git a/Log/display.php b/Log/display.php
index d9748dd..9315a19 100755
--- a/Log/display.php
+++ b/Log/display.php
@@ -139,7 +139,7 @@ public function close(): bool
      *                  PEAR_LOG_NOTICE, PEAR_LOG_INFO, and PEAR_LOG_DEBUG.
      * @return boolean  True on success or false on failure.
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         /* If a priority hasn't been specified, use the default value. */
         if ($priority === null) {
diff --git a/Log/error_log.php b/Log/error_log.php
index dd91e02..b677ad2 100755
--- a/Log/error_log.php
+++ b/Log/error_log.php
@@ -134,7 +134,7 @@ public function close(): bool
      *                  PEAR_LOG_NOTICE, PEAR_LOG_INFO, and PEAR_LOG_DEBUG.
      * @return boolean  True on success or false on failure.
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         /* If a priority hasn't been specified, use the default value. */
         if ($priority === null) {
diff --git a/Log/file.php b/Log/file.php
index 195f5ed..9243d5c 100755
--- a/Log/file.php
+++ b/Log/file.php
@@ -257,7 +257,7 @@ public function flush(): bool
      *                  PEAR_LOG_NOTICE, PEAR_LOG_INFO, and PEAR_LOG_DEBUG.
      * @return boolean  True on success or false on failure.
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         /* If a priority hasn't been specified, use the default value. */
         if ($priority === null) {
diff --git a/Log/firebug.php b/Log/firebug.php
index d3db734..7ab071c 100755
--- a/Log/firebug.php
+++ b/Log/firebug.php
@@ -165,7 +165,7 @@ public function flush(): bool
      *                  PEAR_LOG_NOTICE, PEAR_LOG_INFO, and PEAR_LOG_DEBUG.
      * @return boolean  True on success or false on failure.
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         /* If a priority hasn't been specified, use the default value. */
         if ($priority === null) {
diff --git a/Log/mail.php b/Log/mail.php
index f0cc6f3..5d56c84 100755
--- a/Log/mail.php
+++ b/Log/mail.php
@@ -249,7 +249,7 @@ public function flush(): bool
      *                  PEAR_LOG_NOTICE, PEAR_LOG_INFO, and PEAR_LOG_DEBUG.
      * @return boolean  True on success or false on failure.
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         /* If a priority hasn't been specified, use the default value. */
         if ($priority === null) {
diff --git a/Log/mcal.php b/Log/mcal.php
index 7c48f04..0b9bb8b 100755
--- a/Log/mcal.php
+++ b/Log/mcal.php
@@ -116,7 +116,7 @@ public function close(): bool
      *                  PEAR_LOG_NOTICE, PEAR_LOG_INFO, and PEAR_LOG_DEBUG.
      * @return boolean  True on success or false on failure.
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         /* If a priority hasn't been specified, use the default value. */
         if ($priority === null) {
diff --git a/Log/mdb2.php b/Log/mdb2.php
index 9d2ad80..5bcfefe 100755
--- a/Log/mdb2.php
+++ b/Log/mdb2.php
@@ -223,7 +223,7 @@ public function setIdent(string $ident): void
      *                  PEAR_LOG_NOTICE, PEAR_LOG_INFO, and PEAR_LOG_DEBUG.
      * @return boolean  True on success or false on failure.
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         /* If a priority hasn't been specified, use the default value. */
         if ($priority === null) {
diff --git a/Log/sql.php b/Log/sql.php
index 042c415..eb0f15e 100755
--- a/Log/sql.php
+++ b/Log/sql.php
@@ -217,7 +217,7 @@ public function setIdent(string $ident): void
      *                  PEAR_LOG_NOTICE, PEAR_LOG_INFO, and PEAR_LOG_DEBUG.
      * @return boolean  True on success or false on failure.
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         /* If a priority hasn't been specified, use the default value. */
         if ($priority === null) {
diff --git a/Log/sqlite.php b/Log/sqlite.php
index 8806cec..910253d 100755
--- a/Log/sqlite.php
+++ b/Log/sqlite.php
@@ -150,7 +150,7 @@ public function close(): bool
      *                  PEAR_LOG_NOTICE, PEAR_LOG_INFO, and PEAR_LOG_DEBUG.
      * @return boolean  True on success or false on failure.
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         /* If a priority hasn't been specified, use the default value. */
         if ($priority === null) {
diff --git a/Log/syslog.php b/Log/syslog.php
index bbd15ab..70a482d 100755
--- a/Log/syslog.php
+++ b/Log/syslog.php
@@ -151,7 +151,7 @@ public function close(): bool
      *                  PEAR_LOG_NOTICE, PEAR_LOG_INFO, and PEAR_LOG_DEBUG.
      * @return boolean  True on success or false on failure.
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         /* If a priority hasn't been specified, use the default value. */
         if ($priority === null) {
diff --git a/Log/win.php b/Log/win.php
index 3d9ab69..f4a12e3 100755
--- a/Log/win.php
+++ b/Log/win.php
@@ -238,7 +238,7 @@ private function writeln(string $line): void
      *                  PEAR_LOG_NOTICE, PEAR_LOG_INFO, and PEAR_LOG_DEBUG.
      * @return boolean  True on success or false on failure.
      */
-    public function log($message, int $priority = null): bool
+    public function log($message, ?int $priority = null): bool
     {
         /* If a priority hasn't been specified, use the default value. */
         if ($priority === null) {