It is possible to specify log destination with something that statisfies io.Writer interface. With that we can log to file:
package main
import (
    "log"
    "os"
)
func main() {
    logfile, err := os.OpenFile("test.log", os.O_RDWR|os.O_CREATE|os.O_APPEND, 0666)
    if err != nil {
        log.Fatalln(err)
    }
    defer logfile.Close()
    log.SetOutput(logfile)
    log.Println("Log entry")
}
Output:
$ cat test.log
2016/07/26 07:29:05 Log entry