Automatic Date insert

I asked this in another section and may have put it in the wrong place. so, here is my question.

I have a "customer info column" column (b) and a "date column" column (a) is there a way that when i put a new customer into column B, that column A would automatically put the days date in which i put the new customer in column B. so b3 would have the new customers name and A3 would automatically have todays date (the day i input new customer) inserted.
so b4=new customer a4=todays date, tomorrow i input another new customer and then b5=new customer a4=tomorrows date and so on down the line

there is no "right click\insert date" or anything like that.