diff --git a/framework/BaseYii.php b/framework/BaseYii.php
index cc9acc9452..a980bc43a9 100644
--- a/framework/BaseYii.php
+++ b/framework/BaseYii.php
@@ -378,7 +378,8 @@ class BaseYii
      * Logs a trace message.
      * Trace messages are logged mainly for development purpose to see
      * the execution work flow of some code.
-     * @param string $message the message to be logged.
+     * @param string|array $message the message to be logged. This can be a simple string or a more
+     * complex data structure, such as arrays.
      * @param string $category the category of the message.
      */
     public static function trace($message, $category = 'application')
@@ -392,7 +393,8 @@ class BaseYii
      * Logs an error message.
      * An error message is typically logged when an unrecoverable error occurs
      * during the execution of an application.
-     * @param string $message the message to be logged.
+     * @param string|array $message the message to be logged. This can be a simple string or a more
+     * complex data structure, such as arrays.
      * @param string $category the category of the message.
      */
     public static function error($message, $category = 'application')
@@ -404,7 +406,8 @@ class BaseYii
      * Logs a warning message.
      * A warning message is typically logged when an error occurs while the execution
      * can still continue.
-     * @param string $message the message to be logged.
+     * @param string|array $message the message to be logged. This can be a simple string or a more
+     * complex data structure, such as arrays.
      * @param string $category the category of the message.
      */
     public static function warning($message, $category = 'application')
@@ -416,7 +419,8 @@ class BaseYii
      * Logs an informative message.
      * An informative message is typically logged by an application to keep record of
      * something important (e.g. an administrator logs in).
-     * @param string $message the message to be logged.
+     * @param string|array $message the message to be logged. This can be a simple string or a more
+     * complex data structure, such as arrays.
      * @param string $category the category of the message.
      */
     public static function info($message, $category = 'application')