Add ASP.NET Core logging example

[reyang]

Still need to update the *.sln file and some README files.

[codecov]

Codecov Report

Merging #4821 (f95395f) into main (9139b72) will increase coverage by 0.00%.
The diff coverage is n/a.

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##             main    #4821   +/-   ##
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  Coverage   83.92%   83.92%           
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  Files         293      293           
  Lines       12028    12028           
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+ Hits        10094    10095    +1     
+ Misses       1934     1933    -1     

[cijothomas]

LGTM.
I personally don't prefer showing Scopes, ParseStateValues in the getting-started guide, but no blockers.

[cijothomas]

nit: mention we cleared all existing providers?

[Kielek]

@reyang, not directly related to this PR, but it will be great to propagate your example (with some description) also to https://opentelemetry.io/docs/instrumentation/net/manual/

[cijothomas]

@reyang, not directly related to this PR, but it will be great to propagate your example (with some description) also to https://opentelemetry.io/docs/instrumentation/net/manual/

that particular page need a lot of other fixes too!

[reyang]

@reyang, not directly related to this PR, but it will be great to propagate your example (with some description) also to https://opentelemetry.io/docs/instrumentation/net/manual/

I know, I think the 1st step is that we agree on a good example (current we don't have a good example) and that's what this PR is about.

[tarekgh]

LGTM.

CC @noahfalk @samsp-msft if having any more comments.

[noahfalk]

LGTM modulo one suggestion inline

[davidfowl]

Maybe this is by design but clearing all of the loggers clears:

• The event log logger on windows (there's no console on IIS)
• The console logger (but we add a replacement one)
• The event source logger (so logs can't be collected with etw/event pipe)