Description

The OpenTelemetry SDK by default handles "irredeemable" errors by logging then to stderr using the stdlib log package. We are neglecting to override this default, so OTEL logs are formatted differently from all other application logs.

Reproduce

See #4270

Expected behavior

OTEL errors are logged in the same format as any other application error

registry version

v3.0.0-alpha.1

Additional Info

https://pkg.go.dev/go.opentelemetry.io/otel#SetErrorHandler