Al ver el registro:
Aunque ~ es / root, pero no se permite lo siguiente
java -cp :~/apache-zookeeper-3.6.0-bin/lib/slf4j-api-1.7.25.jar:~/apache-zookeeper-3.6.0-bin/lib/zookeeper-3.6.0.jar:~/apache-zookeeper-3.6.0-bin/lib/zookeeper-jute-3.6.0.jar org.apache.zookeeper.server.LogFormatter log.200000001
El correcto debe ser
java -cp :/root/apache-zookeeper-3.6.0-bin/lib/slf4j-api-1.7.25.jar:/root/apache-zookeeper-3.6.0-bin/lib/zookeeper-3.6.0.jar:/root/apache-zookeeper-3.6.0-bin/lib/zookeeper-jute-3.6.0.jar org.apache.zookeeper.server.LogFormatter log.200000001