Same problem on Websphere 7.0.0.39 using a JNDI datasource. There a key design issues to consider with XA transactions. For instance, if an XA transaction is active while calling the Logger, does the logging operation happen under REQUIRES_NEW. Otherwise, if business operation rollsback, log insert may also rollback.

-----------------------
[11/17/15 18:38:41:920 EST] 000000e6 MCWrapper E J2CA0081E: Method cleanup
failed while trying to execute method cleanup on ManagedConnection WSRdbManaged
ConnectionImpl@c910c91 from resource jdbc/MGO. Caught exception: com.ibm.ws.exce
ption.WsException: DSRA0080E: An exception was received by the Data Store Adapte
r. See original exception message: Cannot call 'cleanup' on a ManagedConnection
while it is still in a transaction..
at com.ibm.ws.rsadapter.exceptions.DataStoreAdapterException.<init>(Data
StoreAdapterException.java:251)
at com.ibm.ws.rsadapter.exceptions.DataStoreAdapterException.<init>(Data
StoreAdapterException.java:200)
at com.ibm.ws.rsadapter.AdapterUtil.createDataStoreAdapterException(Adap
terUtil.java:444)
at com.ibm.ws.rsadapter.spi.WSRdbManagedConnectionImpl.cleanupTransactio
ns(WSRdbManagedConnectionImpl.java:4620)
at com.ibm.ws.rsadapter.spi.WSRdbManagedConnectionImpl.cleanup(WSRdbMana
gedConnectionImpl.java:4062)
at com.ibm.ejs.j2c.MCWrapper.cleanup(MCWrapper.java:1553)
at com.ibm.ejs.j2c.FreePool.returnToFreePool(FreePool.java:519)
at com.ibm.ejs.j2c.PoolManager.release(PoolManager.java:1920)
at com.ibm.ejs.j2c.MCWrapper.releaseToPoolManager(MCWrapper.java:2410)
at com.ibm.ejs.j2c.ConnectionEventListener.connectionClosed(ConnectionEv
entListener.java:377)
at com.ibm.ws.rsadapter.spi.WSRdbManagedConnectionImpl.processConnection
ClosedEvent(WSRdbManagedConnectionImpl.java:1828)
at com.ibm.ws.rsadapter.jdbc.WSJdbcConnection.closeWrapper(WSJdbcConnect
ion.java:915)
at com.ibm.ws.rsadapter.jdbc.WSJdbcObject.close(WSJdbcObject.java:241)
at com.ibm.ws.rsadapter.jdbc.WSJdbcObject.close(WSJdbcObject.java:194)
at ch.qos.logback.core.db.DBHelper.closeConnection(DBHelper.java:29)
at ch.qos.logback.core.db.DBAppenderBase.append(DBAppenderBase.java:118)
at ch.qos.logback.core.UnsynchronizedAppenderBase.doAppend(Unsynchronize
dAppenderBase.java:88)