Core strengths
Datadog's strength is APM + infrastructure correlation across cloud providers; its UI is cohesive and the integration catalog is unmatched.
Splunk's strength is Search Processing Language (SPL) for ad-hoc log analytics and compliance / SIEM workflows — security operations centers love it.
If your use case is production APM + Kubernetes + cloud monitoring, Datadog is more coherent.
If your use case is 'retain and search 10 TB/day of logs for compliance and incident response', Splunk is still the reference.