Multilayer, thermally imageable elements useful as lithographic printing plate precursors are disclosed. The imageable elements comprise a substrate, an underlayer over the substrate, an underlayer over the substrate, and a top layer over the underlayer. The top layer contains a co-polymer that alkylene glycol side chains, polyalkylene glycol side chains, side chains that have silyl groups substituted with three alkoxy and/or phenoxy groups, and/or side chains that have alkyl ammonium side chains. The imageable elements have excellent resistance to press room chemicals.