Improve logging in password manager internals page

components/password_manager/core/browser/password_manager.cc

Index: components/password_manager/core/browser/password_manager.cc
diff --git a/components/password_manager/core/browser/password_manager.cc b/components/password_manager/core/browser/password_manager.cc
index 01213bb818fa21e91f3e9fc686d37891494326ef..aa5744e18b28bbd180072f8f6e54e81f47647f72 100644
--- a/components/password_manager/core/browser/password_manager.cc
+++ b/components/password_manager/core/browser/password_manager.cc
@@ -487,7 +487,10 @@ void PasswordManager::OnPasswordFormsRendered(
     if (ShouldPromptUserToSavePassword()) {
       if (logger)
         logger->LogMessage(Logger::STRING_DECISION_ASK);
-      client_->PromptUserToSavePassword(provisional_save_manager_.Pass());
+      if (client_->PromptUserToSavePassword(provisional_save_manager_.Pass())) {
+        if (logger)
+          logger->LogMessage(Logger::STRING_SHOW_PASSWORD_PROMPT);
+      }
     } else {
       if (logger)
         logger->LogMessage(Logger::STRING_DECISION_SAVE);