Log PowerShell commands to LogFile

I have basic PowerShell script with logging function and some commands to run. I'm looking for a solution of logging into log file commands what are executed.

For now I only know this, but its quite annoying to copy + paste all command to have been logged:

$LogPath        = "C:\Logs"
$FileName       = (Get-Item $PSCommandPath).Basename                                                        
$LogFile        = $LogPath + "\" + $FileName + ".log"

Function WriteLog
{
Param ([string]$LogString)
$Stamp      = (Get-Date).toString("yyyy-MM-dd HH:mm:ss")
$LogMessage = "$Stamp $LogString"
Add-content $LogFile -value $LogMessage
}

WriteLog "***********************"
WriteLog ""

WriteLog "Command1"
Command1

WriteLog "Command2"
Command2

WriteLog "Command3"
Command3

WriteLog "Command4"
Command4

WriteLog "Command5"
Command5

WriteLog ""
WriteLog "***********************"