Use facades.

app/Providers/ErrorServiceProvider.php

 <?php namespace App\Providers;
 
+use App, Log;
+use Exception;
 use Illuminate\Support\ServiceProvider;
 
 class ErrorServiceProvider extends ServiceProvider {
@@ -17,9 +19,9 @@ class ErrorServiceProvider extends ServiceProvider {
 		// exceptions. If nothing is returned, the default error view is
 		// shown, which includes a detailed stack trace during debug.
 
-		$this->app->error(function(\Exception $exception, $code)
+		App::error(function(Exception $exception, $code)
 		{
-			$this->app['log']->error($exception);
+			Log::error($exception);
 		});
 	}
 

app/Providers/LogServiceProvider.php

 <?php namespace App\Providers;
 
+use Log;
 use Illuminate\Support\ServiceProvider;
 
 class LogServiceProvider extends ServiceProvider {
@@ -11,13 +12,7 @@ class LogServiceProvider extends ServiceProvider {
 	 */
 	public function boot()
 	{
-		// Here we will configure the error logger setup for the application which
-		// is built on top of the wonderful Monolog library. By default we will
-		// build a basic log file setup which creates a single file for logs.
-
-		$this->app['log']->useFiles(
-			storage_path().'/logs/laravel.log'
-		);
+		Log::useFiles(storage_path().'/logs/laravel.log');
 	}
 
 	/**

app/Providers/RouteServiceProvider.php

 <?php namespace App\Providers;
 
+use App;
 use Illuminate\Routing\RouteServiceProvider as ServiceProvider;
 
 class RouteServiceProvider extends ServiceProvider {
@@ -23,7 +24,7 @@ class RouteServiceProvider extends ServiceProvider {
 	 */
 	public function map()
 	{
-		$this->app->booted(function()
+		App::booted(function()
 		{
 			// Once the application has booted, we will include the default routes
 			// file. This "namespace" helper will load the routes file within a
@@ -31,7 +32,7 @@ class RouteServiceProvider extends ServiceProvider {
 
 			$this->namespaced(function()
 			{
-				require app('path').'/Http/routes.php';
+				require app_path().'/Http/routes.php';
 			});
 		});
 	}