Get the current zoom level and Lat/Long

[TylerRothermund]

How can I get the current zoom level and center point Lat/Long of the map?  I need to save these settings so I can restore them the next time the user hits the page.

[SanajyJadhav]

Can you clarify "current zoom level"?

If you mean current extent, you can get it by Map.Extent and it's center as Map.Extent.GetCenter().

[TylerRothermund]

Is MyMap.Extent.GetCenter().X , Y  = Lat / Long or are those some kind of screen coordinate?

Is there a property that tells me how far the user has zoomed (level) into the map like  a (1-9) or something?

[JenniferNery]

You can look at the following SDK samples:
Map.Extent updates on pan/zoom
http://help.arcgis.com/en/webapi/silverlight/samples/start.htm#MapExtent
Screen point can be converted to map coordinates
http://help.arcgis.com/en/webapi/silverlight/samples/start.htm#MouseCoords
You can compare Map.Resolution property against ArcGISTiledMapServiceLayer.TileInfo.Lods.Resolution to know what level you are currently zoomed in.
http://help.arcgis.com/en/webapi/silverlight/samples/start.htm#ShowMapProperties

[TylerRothermund]

Shouldn't Map.Resolution = one of the LODs ? 

I'm using this map:
http://services.arcgisonline.com/ArcGIS/rest/services/ESRI_Imagery_World_2D/MapServer

But Map.Resolution doesn't match any of the LODs.

  private int GetZoomLevel()
        {
            double currentRes = MyMap.Resolution;
            var lods = ((ArcGISTiledMapServiceLayer)MyMap.Layers[0]).TileInfo.Lods.ToList();
            int level = lods.IndexOf(lods.Where(l => l.Resolution == currentRes).FirstOrDefault());

            return level;
        }

[dotMorten_esri]

Unless you set SnapToLevels=true on the map, you can zoom between levels, so no there is no guarantee.
You can instead pick the closest one which should be the one currently rendering.
Scale and/or Resolution is the most precise way for determining the zoom since this is a fully linear range as opposed to zoom levels.