[AIG]Log ID example (#21926)

* Log ID example

* description

Author: daisyfaithauma

src/content/docs/ai-gateway/integrations/vercel-ai-sdk.mdx

@@ -40,13 +40,25 @@ const anthropic = createAnthropic({
 If you're using the Google AI Studio provider in AI SDK, you need to append `/v1beta` to your Google AI Studio-compatible AI Gateway URL to avoid errors. The `/v1beta` path is required because Google AI Studio's API includes this in its endpoint structure, and the AI SDK sets the model name separately. This ensures compatibility with Google's API versioning.
 
 ```typescript
-import { createGoogleGenerativeAI } from '@ai-sdk/google';
+import { createGoogleGenerativeAI } from "@ai-sdk/google";
 
 const google = createGoogleGenerativeAI({
 	baseURL: `https://gateway.ai.cloudflare.com/v1/{account_id}/{gateway_id}/google-ai-studio/v1beta`,
 });
 ```
 
+### Retrieve `log id` from AI SDK
+
+You can access the AI Gateway `log id` from the response headers when invoking the SDK.
+
+```typescript
+const result = await generateText({
+	model: anthropic("claude-3-sonnet-20240229"),
+	messages: [],
+});
+console.log(result.response.headers["cf-aig-log-id"]);
+```
+
 ### Other providers
 
 For other providers that are not listed above, you can follow a similar pattern by creating a custom instance for any AI provider, and passing your AI Gateway URL. For help finding your provider-specific AI Gateway URL, refer to the [Supported providers page](/ai-gateway/providers).