The average cook salary at Logan County was $26,166 , which is 33 percent lower than the average salary for this job in Ohio, and 31 percent lower than the national average for this job . Cook salaries at Logan County typically range from $20,786 to $33,265 (25th to 75th percentile). The highest reported cook salary was $37,851. There are 12 employees at Logan County with the job title cook.