在Go语言中如何解决并发日志同步问题？

package main

import (
    "fmt"
    "log"
    "os"
    "sync"
)

type Logger struct {
    file *os.File
    mu   sync.Mutex
}

func NewLogger(filename string) (*Logger, error) {
    file, err := os.OpenFile(filename, os.O_CREATE|os.O_WRONLY|os.O_APPEND, 0666)
    if err != nil {
        return nil, err
    }
    return &Logger{file: file}, nil
}

func (l *Logger) WriteLog(msg string) {
    l.mu.Lock()
    defer l.mu.Unlock()
    log.SetOutput(l.file)
    log.Println(msg)
}

func main() {
    logger, err := NewLogger("log.txt")
    if err != nil {
        fmt.Println("Failed to create logger:", err)
        return
    }

    var wg sync.WaitGroup
    for i := 0; i < 10; i++ {
        wg.Add(1)
        go func(index int) {
            defer wg.Done()
            logger.WriteLog(fmt.Sprintf("Log message from goroutine %d", index))
        }(i)
    }
    wg.Wait()
}