Slow query while selecting a higher offset from millions of rows

I have sort of security log files containing millions of rows. On my current testing I imported the data for one month which is the sum of ~14,000,000 records. The table contains several set of fields including

id for primary key

log_time index

and other 8 columns.

When I perform a select query sorted by log_time with offset of some million, the query gets a lots of time to process.

My Query:

SELECT * FROM securityData ORDER BY log_time LIMIT 5000753, 50;

Explain

mysql> explain SELECT * FROM securityData ORDER BY log_time LIMIT 5000753, 50;
+----+-------------+------------+------+---------------+------+---------+------+---------+----------------+
| id | select_type | table      | type | possible_keys | key  | key_len | ref  | rows    | Extra          |
+----+-------------+------------+------+---------------+------+---------+------+---------+----------------+
|  1 | SIMPLE      | securityData | ALL  | NULL          | NULL | NULL    | NULL | 2664456 | Using filesort |
+----+-------------+------------+------+---------------+------+---------+------+---------+----------------+

Table Details

mysql> explain securityData;

+-----------+-----------------------+------+-----+---------+----------------+
| Field     | Type                  | Null | Key | Default | Extra          |
+-----------+-----------------------+------+-----+---------+----------------+
| id        | bigint(20)            | NO   | PRI | NULL    | auto_increment |
| log_time  | double(18,6) unsigned | NO   | MUL | NULL    |                |
/// more fields
+-----------+-----------------------+------+-----+---------+----------------+

The time of processing go higher and higher when I increase the offset value. I tried in both MyISAM and INNODB

How could I achieve the performance of this query?