Try Castle.Core-log4net1211 that allows to use a log4net version greater than 1.2.10
those are my dependencies
<package id="Castle.Core" version="3.2.0" targetFramework="net40" />
<package id="Castle.Core-log4net1211" version="3.2.0" targetFramework="net40" />
<package id="Castle.LoggingFacility" version="3.2.0" targetFramework="net40" />
<package id="Castle.Windsor" version="3.2.0" targetFramework="net40" />