Public API for accessing SynchronousMultiLogRecordProcessor

[JP-MY]

Is your feature request related to a problem?

We need to dynamically add and remove processors / metric readers at run-time; This is currently possible directly via MeterProvider or by sub-classing SynchronousMultiSpanProcessor for tracing, however the equivalent SynchronousMultiLogRecordProcessor is only accessible via the private _internal package which seems to discourage its use. It's possible to copy paste the same implementation as a custom processor but that's not really ideal.

Describe the solution you'd like

Be able to dynamically add and remove processors at run-time which requires public APIs for accessing SynchronousMultiLogRecordProcessor for logs. If this is useful for others I can add public APIs to the provider similar to how MeterProvider works but if it's a niche for our use case I'd be happy with a public API we can extend and implement our custom logic.

Unfortunately I haven't been following the repo closely so I'm not sure which option is preferable for the maintainers. Would appreciate some feedback regarding which approach to request from @aabmass and @xrmx

Describe alternatives you've considered

No response

Additional Context

No response

Would you like to implement a fix?

Yes

Tip

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[aabmass]

I think I'm onboard to just expose this. We already do for tracing, although it's not something that is explicitly mentioned in the spec. @open-telemetry/python-approvers WDYT?