Serverless log management in AWS is a complex process that requires capturing, aggregating, normalizing, and analyzing log data from various AWS services without access to underlying infrastructure. The four challenges of serverless log management are non-standard logging formats, complex log management infrastructure, data movement and duplication costs, and high cost of data retention. To overcome these challenges, organizations can use tools like ChaosSearch that provide a simplified process for serverless log management, including capturing logs using Amazon CloudTrail and CloudWatch, delivering log data to Amazon S3, leveraging proprietary technologies like Chaos Index and Chaos Refinery, and visualizing data with built-in Kibana Open Distro. By adopting such solutions, organizations can achieve robust and cost-effective serverless log management and improve their cloud observability and security operations.