OS X环境下，mysql开启二进制日志的疑惑

Question

当前环境是：

mysql> show variables like '%version%'; 
+-------------------------+------------------------------+
| Variable_name           | Value                        |
+-------------------------+------------------------------+
| innodb_version          | 5.7.16                       |
| protocol_version        | 10                           |
| slave_type_conversions  |                              |
| tls_version             | TLSv1,TLSv1.1                |
| version                 | 5.7.16                       |
| version_comment         | MySQL Community Server (GPL) |
| version_compile_machine | x86_64                       |
| version_compile_os      | osx10.11                     |
+-------------------------+------------------------------+

当前mysql服务器数据文件的缺省位置:

mysql> show variables like '%datadir%';  
+---------------+------------------------+
| Variable_name | Value                  |
+---------------+------------------------+
| datadir       | /usr/local/mysql/data/ |
+---------------+------------------------+
1 row in set (0.01 sec)

之后，我停止了mysql的服务。开始编辑my.cnf

sh-3.2# cp /usr/local/opt/mysql/support-files/my-default.cnf /etc/my.cnf
sh-3.2# vi /etc/my.cnf
sh-3.2# grep -v ^# /etc/my.cnf
[mysqld]
log_bin=/usr/local/mysql/data/binarylog/binlog
log_bin_index=/usr/local/mysql/data/binarylog/binlog.index 
sql_mode=NO_ENGINE_SUBSTITUTION,STRICT_TRANS_TABLES 
sh-3.2# mkdir -p /usr/local/mysql/data/binarylog
sh-3.2# chown -R mysql:mysql /usr/local/mysql/data/binarylog

之后，就无法启动mysql服务了。只有我删除etc文件夹下的my.cnf文件，才可以启动mysql服务。
希望得到大家的帮助，不胜感谢！

Answer 1

chmod -R 777 /usr/local/mysql/data