docs(developing): simplify Logging section per review (drop package name, consolidate, guidellm env)

Author: Anai-Guo

DEVELOPING.md

@@ -306,17 +306,17 @@ In the future this will be replaced by a configurable untracked file for dev use
 
 ## Logging
 
-GuideLLM uses [Loguru](https://github.com/Delgan/loguru) for logging, which is useful for learning how GuideLLM works and for diagnosing problems. Logging is configured entirely through environment variables (or the equivalent `GUIDELLM__LOGGING__*` settings), so no code changes are needed to change what is logged or where it goes.
+Logging is controlled entirely through the `GUIDELLM__LOGGING__*` environment variables (or the equivalent settings object), so no code changes are needed to change what is logged or where it goes.
 
-GuideLLM writes to two independent sinks:
+Logging is set through two independent outputs:
 
-- **Console logging** is enabled by default and prints human-readable messages (timestamp, level, `module:function:line`, and message) to `stdout`. Its verbosity is controlled by `GUIDELLM__LOGGING__CONSOLE_LOG_LEVEL` (default: `WARNING`).
-- **File logging** is disabled by default and turns on as soon as either `GUIDELLM__LOGGING__LOG_FILE` or `GUIDELLM__LOGGING__LOG_FILE_LEVEL` is set. File logs are written as structured JSON (one object per line) for easy parsing, to `GUIDELLM__LOGGING__LOG_FILE` (default: `guidellm.log`) at `GUIDELLM__LOGGING__LOG_FILE_LEVEL` (default: `INFO`).
+- **Console logging** is enabled by default and prints human-readable messages (timestamp, level, `module:function:line`, and message) to `stdout`.
+- **File logging** is disabled by default and turns on as soon as either `GUIDELLM__LOGGING__LOG_FILE` or `GUIDELLM__LOGGING__LOG_FILE_LEVEL` is set. File logs are written as structured JSON, one object per line.
 
-### Logging environment variables
+The variables below control both, including their default levels:
 
 - `GUIDELLM__LOGGING__DISABLED`: Disable logging entirely (default: `false`).
-- `GUIDELLM__LOGGING__CLEAR_LOGGERS`: Clear existing loguru loggers before configuring GuideLLM's own (default: `true`).
+- `GUIDELLM__LOGGING__CLEAR_LOGGERS`: Clear existing loggers before configuring GuideLLM's own (default: `true`).
 - `GUIDELLM__LOGGING__CONSOLE_LOG_LEVEL`: Level for console logging, one of `DEBUG`, `INFO`, `WARNING`, `ERROR`, `CRITICAL` (default: `WARNING`).
 - `GUIDELLM__LOGGING__LOG_FILE`: Path to the log file; setting it enables file logging (default: `guidellm.log` when a file level is set, otherwise file logging is off).
 - `GUIDELLM__LOGGING__LOG_FILE_LEVEL`: Level for file logging; setting it enables file logging (default: `INFO` when a log file is set, otherwise off).
@@ -335,7 +335,7 @@ Write structured `DEBUG` logs to a file while leaving the console at its default
 GUIDELLM__LOGGING__LOG_FILE=guidellm.log GUIDELLM__LOGGING__LOG_FILE_LEVEL=DEBUG guidellm run ...
 ```
 
-If logging isn't responding to the environment variables, run the `guidellm config` command to validate that the environment variables match and are being set correctly.
+If logging isn't responding to the environment variables, run the `guidellm env` command to validate that the environment variables match and are being set correctly.
 
 ## Additional Resources