If you need access to Autofac container from the class that was resolved by Autofac itself, then you can specify dependency on IComponentContext that is automatically provided by Autofac.
Example:
public void SomeComponent(IComponentContext context)
{
this.context = context;
}
...
// somewhere inside SomeComponent
context.Resolve<ILogManager>();
If your code is running inside ASP.Net environment, then you most probably set its DependencyResolver, thus you can always access it like:
DependencyResolver.Current.GetService<ILogManager>();
but as it is already mentioned in other comments, Service Locator is an anti-pattern that should be avoided.
In order to integrate autofac container with standard MVC dependency resolution mechanism you need to:
And in case you don't mind having explicit dependency on Autofac in your application code you can access global Autofac resolver reference the same way you use Ninject WebContainerManager:
var log = AutofacDependencyResolver.Current.Resolve<ILogManager>().GetLog(typeof(WebApiApplication));