When you use a VPN service, your provider won't be able to log anything except encrypted communication with the VPN service. However, the VPN service will be able to log all of your traffic instead. Whether or not this is better depends on who you trust more: your ISP or your VPN provider.
An alternative to VPN providers is TOR. It also encrypts your traffic and proxies it through other users. But keep in mind that the exit node can see your connection in clear-text. Even though it doesn't know your IP address it might be able to deanonymize you as soon as you transmit private information. Unfortunately TOR is quite slow, even compared to cheap VPN providers.