asp.net core (tested on 5) sample for simple and light and also powerful file logger provider.

AddFileLoggerSample.sc

    public class Program
    {
        private static DateTime _startupTimestamp;

        public static void Main(string[] args)
        {
            _startupTimestamp = DateTime.Now;
            CreateHostBuilder(args).Build().Run();
        }

        public static IHostBuilder CreateHostBuilder(string[] args) =>
            Host.CreateDefaultBuilder(args)
                .ConfigureWebHostDefaults(webBuilder =>
                {
                    webBuilder.ConfigureLogging((ctx, logBuilder) =>
                    {
                        logBuilder.AddConfiguration(ctx.Configuration.GetSection("Logging"));
                        // enable Karambolo.Extensions.Logging.File (https://github.com/adams85/filelogger)
                        logBuilder.AddFile(o =>
                        {
                            o.RootPath = ctx.HostingEnvironment.ContentRootPath;
                            o.PathPlaceholderResolver = (placeholderName, inlineFormat, context) => placeholderName switch
                            {
                                "date" => context.FormatDate(inlineFormat),
                                "counter" => (context.Counter + 1).ToString(inlineFormat ?? context.CounterFormat, CultureInfo.InvariantCulture) /*context.FormatCounter(inlineFormat)*/,
                                "timestamp" => _startupTimestamp.ToString("yyyyMMddHHmmssFFF" /*inlineFormat ?? context.DateFormat*/, CultureInfo.InvariantCulture),
                                _ => null,
                            };
                        });
                    });
                    webBuilder.UseStartup<Startup>();
                });
    }

using https://github.com/adams85/filelogger